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152506964 = 22149325537
BaseRepresentation
bin10010001011100…
…01001001010100
3101121222011020002
421011301021110
5303020210324
623044430432
73531200501
oct1105611124
9347864202
10152506964
11790a4815
12430a8418
132579900c
141637c4a8
15d5c73ae
hex9171254

152506964 has 12 divisors (see below), whose sum is σ = 267076404. Its totient is φ = 76199424.

The previous prime is 152506961. The next prime is 152506973. The reversal of 152506964 is 469605251.

152506964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140659600 + 11847364 = 11860^2 + 3442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152506961) 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, 6797 + ... + 18740.

It is an arithmetic number, because the mean of its divisors is an integer number (22256367).

Almost surely, 2152506964 is an apocalyptic number.

It is an amenable number.

152506964 is a deficient number, since it is larger than the sum of its proper divisors (114569440).

152506964 is a wasteful number, since it uses less digits than its factorization.

152506964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27034 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 152506964 is about 12349.3709961277. The cubic root of 152506964 is about 534.2729974545.

The spelling of 152506964 in words is "one hundred fifty-two million, five hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 4 1493 2986 5972 25537 51074 102148 38126741 76253482 152506964