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137246352 = 2434169739
BaseRepresentation
bin10000010111000…
…11011010010000
3100120020211121020
420023203122100
5240113340402
621341355440
73254401065
oct1013433220
9316224536
10137246352
1170521241
1239b68b80
1322584b79
1414328c6c
15c0b08bc
hex82e3690

137246352 has 40 divisors (see below), whose sum is σ = 363205920. Its totient is φ = 44632320.

The previous prime is 137246323. The next prime is 137246363. The reversal of 137246352 is 253642731.

It is a super-2 number, since 2×1372463522 = 37673122274615808, which contains 22 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 7 ways as a sum of consecutive naturals, for example, 32902 + ... + 36837.

It is an arithmetic number, because the mean of its divisors is an integer number (9080148).

Almost surely, 2137246352 is an apocalyptic number.

137246352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137246352 is an abundant number, since it is smaller than the sum of its proper divisors (225959568).

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

137246352 is a wasteful number, since it uses less digits than its factorization.

137246352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69791 (or 69785 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 137246352 is about 11715.2188199794. The cubic root of 137246352 is about 515.8224856605.

The spelling of 137246352 in words is "one hundred thirty-seven million, two hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 69739 139478 209217 278956 418434 557912 836868 1115824 1673736 2859299 3347472 5718598 8577897 11437196 17155794 22874392 34311588 45748784 68623176 137246352