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9064152 = 2332312131
BaseRepresentation
bin100010100100…
…111011011000
3122001111200100
4202210323120
54310023102
6522135400
7140021046
oct42447330
918044610
109064152
115131039
123051560
131b54906
1412bd396
15be0a1c
hex8a4ed8

9064152 has 72 divisors (see below), whose sum is σ = 25559820. Its totient is φ = 2901600.

The previous prime is 9064141. The next prime is 9064163. The reversal of 9064152 is 2514609.

It is an interprime number because it is at equal distance from previous prime (9064141) and next prime (9064163).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 69127 + ... + 69257.

Almost surely, 29064152 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 9064152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12779910).

9064152 is an abundant number, since it is smaller than the sum of its proper divisors (16495668).

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

9064152 is a wasteful number, since it uses less digits than its factorization.

9064152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9064152 is about 3010.6730144604. The cubic root of 9064152 is about 208.5014405642.

It can be divided in two parts, 9064 and 152, that added together give a square (9216 = 962).

The spelling of 9064152 in words is "nine million, sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 131 186 248 262 279 372 393 524 558 744 786 961 1048 1116 1179 1572 1922 2232 2358 2883 3144 3844 4061 4716 5766 7688 8122 8649 9432 11532 12183 16244 17298 23064 24366 32488 34596 36549 48732 69192 73098 97464 125891 146196 251782 292392 377673 503564 755346 1007128 1133019 1510692 2266038 3021384 4532076 9064152