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152043616 = 2523337613
BaseRepresentation
bin10010001000000…
…00000001100000
3101121002121122001
421010000001200
5302410343431
623030453344
73524230564
oct1104000140
9347077561
10152043616
117890868a
1242b04254
132566614a
141629b6a4
15d534e61
hex9100060

152043616 has 48 divisors (see below), whose sum is σ = 313788384. Its totient is φ = 72382464.

The previous prime is 152043613. The next prime is 152043653. The reversal of 152043616 is 616340251.

It is a super-2 number, since 2×1520436162 = 46234522332710912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152043613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247726 + ... + 248338.

It is an arithmetic number, because the mean of its divisors is an integer number (6537258).

Almost surely, 2152043616 is an apocalyptic number.

152043616 is a gapful number since it is divisible by the number (16) 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 152043616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156894192).

152043616 is an abundant number, since it is smaller than the sum of its proper divisors (161744768).

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

152043616 is a wasteful number, since it uses less digits than its factorization.

152043616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 152043616 is about 12330.5967414396. The cubic root of 152043616 is about 533.7313709181.

Adding to 152043616 its reverse (616340251), we get a palindrome (768383867).

The spelling of 152043616 in words is "one hundred fifty-two million, forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 337 368 613 674 736 1226 1348 2452 2696 4904 5392 7751 9808 10784 14099 15502 19616 28198 31004 56396 62008 112792 124016 206581 225584 248032 413162 451168 826324 1652648 3305296 4751363 6610592 9502726 19005452 38010904 76021808 152043616