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45811152 = 2432794027
BaseRepresentation
bin1010111011000…
…0010111010000
310012012110002100
42232300113100
543211424102
64313520400
71064250132
oct256602720
9105173070
1045811152
112394a662
1213413100
13964c8ba
146127052
15404da1c
hex2bb05d0

45811152 has 60 divisors (see below), whose sum is σ = 129862720. Its totient is φ = 15073344.

The previous prime is 45811127. The next prime is 45811163. The reversal of 45811152 is 25111854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9363 + ... + 13389.

Almost surely, 245811152 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 45811152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64931360).

45811152 is an abundant number, since it is smaller than the sum of its proper divisors (84051568).

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

45811152 is a wasteful number, since it uses less digits than its factorization.

45811152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4111 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 45811152 is about 6768.3936055758. The cubic root of 45811152 is about 357.8137874530.

The spelling of 45811152 in words is "forty-five million, eight hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 4027 5688 8054 11376 12081 16108 24162 32216 36243 48324 64432 72486 96648 144972 193296 289944 318133 579888 636266 954399 1272532 1908798 2545064 2863197 3817596 5090128 5726394 7635192 11452788 15270384 22905576 45811152