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5247465984 = 29331672273
BaseRepresentation
bin1001110001100010…
…11111101000000000
3111112201000220002000
410320301133220000
541221322402414
62224411224000
7244015503435
oct47061375000
914481026060
105247465984
11225306a952
121025448000
136581c4a77
1437acbbb8c
1520aa39b09
hex138c5fa00

5247465984 has 160 divisors (see below), whose sum is σ = 15632749440. Its totient is φ = 1737916416.

The previous prime is 5247465983. The next prime is 5247465997. The reversal of 5247465984 is 4895647425.

5247465984 is a `hidden beast` number, since 5 + 2 + 4 + 7 + 46 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5247465984.

It is not an unprimeable number, because it can be changed into a prime (5247465983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307472 + ... + 2309744.

It is an arithmetic number, because the mean of its divisors is an integer number (97704684).

Almost surely, 25247465984 is an apocalyptic number.

5247465984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5247465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816374720).

5247465984 is an abundant number, since it is smaller than the sum of its proper divisors (10385283456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5247465984 is a wasteful number, since it uses less digits than its factorization.

5247465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2445 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5247465984 is about 72439.3952487181. The cubic root of 5247465984 is about 1737.7336486438.

The spelling of 5247465984 in words is "five billion, two hundred forty-seven million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 512 576 668 768 864 1002 1152 1336 1503 1536 1728 2004 2273 2304 2672 3006 3456 4008 4509 4546 4608 5344 6012 6819 6912 8016 9018 9092 10688 12024 13638 13824 16032 18036 18184 20457 21376 24048 27276 32064 36072 36368 40914 42752 48096 54552 61371 64128 72144 72736 81828 85504 96192 109104 122742 128256 144288 145472 163656 192384 218208 245484 256512 288576 290944 327312 379591 384768 436416 490968 577152 581888 654624 759182 769536 872832 981936 1138773 1154304 1163776 1309248 1518364 1745664 1963872 2277546 2308608 2618496 3036728 3416319 3491328 3927744 4555092 5236992 6073456 6832638 7855488 9110184 10248957 10473984 12146912 13665276 15710976 18220368 20497914 24293824 27330552 31421952 36440736 40995828 48587648 54661104 72881472 81991656 97175296 109322208 145762944 163983312 194350592 218644416 291525888 327966624 437288832 583051776 655933248 874577664 1311866496 1749155328 2623732992 5247465984