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152246064 = 2433171793
BaseRepresentation
bin10010001001100…
…01011100110000
3101121110220100010
421010301130300
5302433333224
623035054520
73526033035
oct1104613460
9347426303
10152246064
1178a367a3
1242ba1440
1325707339
141631138c
15d574e29
hex9131730

152246064 has 20 divisors (see below), whose sum is σ = 393302456. Its totient is φ = 50748672.

The previous prime is 152246063. The next prime is 152246071. The reversal of 152246064 is 460642251.

It is a super-3 number, since 3×1522460643 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152246063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1585849 + ... + 1585944.

Almost surely, 2152246064 is an apocalyptic number.

It is an amenable number.

152246064 is an abundant number, since it is smaller than the sum of its proper divisors (241056392).

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

152246064 is a wasteful number, since it uses less digits than its factorization.

152246064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171804 (or 3171798 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 152246064 is about 12338.8031834534. The cubic root of 152246064 is about 533.9681558814.

It can be divided in two parts, 1522 and 46064, that added together give a triangular number (47586 = T308).

The spelling of 152246064 in words is "one hundred fifty-two million, two hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3171793 6343586 9515379 12687172 19030758 25374344 38061516 50748688 76123032 152246064