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32152968 = 2332446569
BaseRepresentation
bin111101010100…
…1110110001000
32020111112120200
41322221312020
531212343333
63105052200
7540203301
oct172516610
966445520
1032152968
1117171001
12a927060
136879c33
1443ad7a8
152c51c13
hex1ea9d88

32152968 has 24 divisors (see below), whose sum is σ = 87081150. Its totient is φ = 10717632.

The previous prime is 32152957. The next prime is 32152969. The reversal of 32152968 is 86925123.

It can be written as a sum of positive squares in only one way, i.e., 30669444 + 1483524 = 5538^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32152969) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 223213 + ... + 223356.

Almost surely, 232152968 is an apocalyptic number.

It is an amenable number.

32152968 is an abundant number, since it is smaller than the sum of its proper divisors (54928182).

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

32152968 is a wasteful number, since it uses less digits than its factorization.

32152968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446581 (or 446574 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 32152968 is about 5670.3587188114. The cubic root of 32152968 is about 317.9852847113.

The spelling of 32152968 in words is "thirty-two million, one hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 446569 893138 1339707 1786276 2679414 3572552 4019121 5358828 8038242 10717656 16076484 32152968