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5253825024 = 2933754293
BaseRepresentation
bin1001110010010011…
…10000001000000000
3111120010222222001000
410321021300020000
541224434400044
62225155412000
7244123530060
oct47111601000
914503888030
105253825024
112256713558
1210275b4000
13659610306
1437ba953a0
1520b393d69
hex139270200

5253825024 has 160 divisors (see below), whose sum is σ = 17773683840. Its totient is φ = 1501065216.

The previous prime is 5253825007. The next prime is 5253825119. The reversal of 5253825024 is 4205283525.

It is a happy number.

5253825024 is a `hidden beast` number, since 52 + 538 + 2 + 50 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5253825024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69622 + ... + 123914.

It is an arithmetic number, because the mean of its divisors is an integer number (111085524).

Almost surely, 25253825024 is an apocalyptic number.

5253825024 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 5253825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886841920).

5253825024 is an abundant number, since it is smaller than the sum of its proper divisors (12519858816).

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

5253825024 is an equidigital number, since it uses as much as digits as its factorization.

5253825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54327 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5253825024 is about 72483.2740982359. The cubic root of 5253825024 is about 1738.4353115742.

The spelling of 5253825024 in words is "five billion, two hundred fifty-three million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 54293 96768 108586 162879 217172 325758 380051 434344 488637 651516 760102 868688 977274 1140153 1303032 1465911 1520204 1737376 1954548 2280306 2606064 2931822 3040408 3420459 3474752 3909096 4560612 5212128 5863644 6080816 6840918 6949504 7818192 9121224 10261377 10424256 11727288 12161632 13681836 13899008 15636384 18242448 20522754 20848512 23454576 24323264 27363672 27798016 31272768 36484896 41045508 41697024 46909152 48646528 54727344 62545536 72969792 82091016 83394048 93818304 97293056 109454688 125091072 145939584 164182032 187636608 194586112 218909376 250182144 291879168 328364064 375273216 437818752 583758336 656728128 750546432 875637504 1313456256 1751275008 2626912512 5253825024