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152523476 = 22723312351
BaseRepresentation
bin10010001011101…
…01001011010100
3101121222222212122
421011311023110
5303021222401
623045035112
73531266600
oct1105651324
9347888778
10152523476
1179106166
12430b5a98
13257a36a1
1416384500
15d5cc21b
hex91752d4

152523476 has 36 divisors (see below), whose sum is σ = 311564736. Its totient is φ = 65142000.

The previous prime is 152523443. The next prime is 152523487. The reversal of 152523476 is 674325251.

It is a super-2 number, since 2×1525234762 = 46526821462245152, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 63701 + ... + 66051.

It is an arithmetic number, because the mean of its divisors is an integer number (8654576).

Almost surely, 2152523476 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 152523476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155782368).

152523476 is an abundant number, since it is smaller than the sum of its proper divisors (159041260).

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

152523476 is a wasteful number, since it uses less digits than its factorization.

152523476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2691 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 152523476 is about 12350.0395141068. The cubic root of 152523476 is about 534.2922787541.

The spelling of 152523476 in words is "one hundred fifty-two million, five hundred twenty-three thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 331 662 1324 2317 2351 4634 4702 9268 9404 16219 16457 32438 32914 64876 65828 115199 230398 460796 778181 1556362 3112724 5447267 10894534 21789068 38130869 76261738 152523476