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45531136 = 2147397
BaseRepresentation
bin1010110110110…
…0000000000000
310011200012222101
42231230000000
543123444021
64303520144
71062002560
oct255540000
9104605871
1045531136
1123779242
12132b9054
139582301
146092da0
153ee5a91
hex2b6c000

45531136 has 60 divisors (see below), whose sum is σ = 104330128. Its totient is φ = 19464192.

The previous prime is 45531119. The next prime is 45531139. The reversal of 45531136 is 63113554.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (45531139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114490 + ... + 114886.

Almost surely, 245531136 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 45531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52165064).

45531136 is an abundant number, since it is smaller than the sum of its proper divisors (58798992).

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

45531136 is an frugal number, since it uses more digits than its factorization.

45531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 45531136 is about 6747.6763407858. The cubic root of 45531136 is about 357.0832635652.

The spelling of 45531136 in words is "forty-five million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 397 448 512 794 896 1024 1588 1792 2048 2779 3176 3584 4096 5558 6352 7168 8192 11116 12704 14336 16384 22232 25408 28672 44464 50816 57344 88928 101632 114688 177856 203264 355712 406528 711424 813056 1422848 1626112 2845696 3252224 5691392 6504448 11382784 22765568 45531136