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45663136 = 2561149157
BaseRepresentation
bin1010111000110…
…0001110100000
310011220221001021
42232030032200
543142210021
64310415224
71063062451
oct256141640
9104827037
1045663136
1123859432
1213361514
1395ca40c
1460c9128
15401ec41
hex2b8c3a0

45663136 has 48 divisors (see below), whose sum is σ = 92572200. Its totient is φ = 22164480.

The previous prime is 45663133. The next prime is 45663161. The reversal of 45663136 is 63136654.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 33131536 = 3540^2 + 5756^2 .

It is not an unprimeable number, because it can be changed into a prime (45663131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 290770 + ... + 290926.

Almost surely, 245663136 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 45663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46286100).

45663136 is an abundant number, since it is smaller than the sum of its proper divisors (46909064).

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

45663136 is a wasteful number, since it uses less digits than its factorization.

45663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 45663136 is about 6757.4504067733. The cubic root of 45663136 is about 357.4280057807.

The spelling of 45663136 in words is "forty-five million, six hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 122 149 157 244 298 314 488 596 628 976 1192 1256 1952 2384 2512 4768 5024 9089 9577 18178 19154 23393 36356 38308 46786 72712 76616 93572 145424 153232 187144 290848 306464 374288 748576 1426973 2853946 5707892 11415784 22831568 45663136