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5237983296 = 263271327687
BaseRepresentation
bin1001110000011010…
…10100100001000000
3111112001012010021100
410320031110201000
541211410431141
62223432054400
7243542060220
oct47015244100
914461163240
105237983296
112248783417
121022234400
13656254800
14379930080
15209cb50b6
hex138354840

5237983296 has 252 divisors, whose sum is σ = 18582388032. Its totient is φ = 1381266432.

The previous prime is 5237983273. The next prime is 5237983349. The reversal of 5237983296 is 6923897325.

It is a happy number.

5237983296 is a `hidden beast` number, since 523 + 7 + 98 + 3 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×52379832963 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677565 + ... + 685251.

Almost surely, 25237983296 is an apocalyptic number.

5237983296 is a gapful number since it is divisible by the number (56) 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 5237983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291194016).

5237983296 is an abundant number, since it is smaller than the sum of its proper divisors (13344404736).

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

5237983296 is a wasteful number, since it uses less digits than its factorization.

5237983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7712 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 5237983296 is about 72373.9130902841. The cubic root of 5237983296 is about 1736.6862655153.

The spelling of 5237983296 in words is "five billion, two hundred thirty-seven million, nine hundred eighty-three thousand, two hundred ninety-six".