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5242449984 = 263238314303
BaseRepresentation
bin1001110000111100…
…10111000001000000
3111112100121001102020
410320132113001000
541214031344414
62224111521440
7243625042512
oct47036270100
914470531366
105242449984
1122502542a2
121023829280
13657159915
1437a373bb2
1520a3987a9
hex138797040

5242449984 has 112 divisors (see below), whose sum is σ = 14649126912. Its totient is φ = 1651251712.

The previous prime is 5242449917. The next prime is 5242450061. The reversal of 5242449984 is 4899442425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359377 + ... + 373679.

It is an arithmetic number, because the mean of its divisors is an integer number (130795776).

Almost surely, 25242449984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324563456).

5242449984 is an abundant number, since it is smaller than the sum of its proper divisors (9406676928).

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

5242449984 is a wasteful number, since it uses less digits than its factorization.

5242449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14414 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 5242449984 is about 72404.7649260738. The cubic root of 5242449984 is about 1737.1797780827.

The spelling of 5242449984 in words is "five billion, two hundred forty-two million, four hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 138 166 184 192 249 276 332 368 498 552 664 736 996 1104 1328 1472 1909 1992 2208 2656 3818 3984 4416 5312 5727 7636 7968 11454 14303 15272 15936 22908 28606 30544 42909 45816 57212 61088 85818 91632 114424 122176 171636 183264 228848 328969 343272 366528 457696 657938 686544 915392 986907 1187149 1315876 1373088 1973814 2374298 2631752 2746176 3561447 3947628 4748596 5263504 7122894 7895256 9497192 10527008 14245788 15790512 18994384 21054016 27304427 28491576 31581024 37988768 54608854 56983152 63162048 75977536 81913281 109217708 113966304 163826562 218435416 227932608 327653124 436870832 655306248 873741664 1310612496 1747483328 2621224992 5242449984