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9025152 = 273191237
BaseRepresentation
bin100010011011…
…011010000000
3121222112011220
4202123122000
54302301102
6521235040
7136466253
oct42333200
917875156
109025152
115104804
123032a80
131b3cc36
1412ad09a
15bd41bc
hex89b680

9025152 has 64 divisors (see below), whose sum is σ = 25255200. Its totient is φ = 2847744.

The previous prime is 9025139. The next prime is 9025157. The reversal of 9025152 is 2515209.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9025157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6678 + ... + 7914.

Almost surely, 29025152 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 9025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627600).

9025152 is an abundant number, since it is smaller than the sum of its proper divisors (16230048).

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

9025152 is a wasteful number, since it uses less digits than its factorization.

9025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 9025152 is about 3004.1890752747. The cubic root of 9025152 is about 208.2019734403.

The spelling of 9025152 in words is "nine million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1237 1824 2432 2474 3648 3711 4948 7296 7422 9896 14844 19792 23503 29688 39584 47006 59376 70509 79168 94012 118752 141018 158336 188024 237504 282036 376048 475008 564072 752096 1128144 1504192 2256288 3008384 4512576 9025152