Search a number
-
+
45631936 = 267214551
BaseRepresentation
bin1010111000010…
…0100111000000
310011212100020201
42232010213000
543140210221
64310014544
71062602500
oct256044700
9104770221
1045631936
1123837a49
1213347454
1395b915c
1460bba00
154015891
hex2b849c0

45631936 has 42 divisors (see below), whose sum is σ = 105341928. Its totient is φ = 19555200.

The previous prime is 45631921. The next prime is 45631967. The reversal of 45631936 is 63913654.

It is a junction number, because it is equal to n+sod(n) for n = 45631895 and 45631904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4140 + ... + 10411.

Almost surely, 245631936 is an apocalyptic number.

It is an amenable number.

45631936 is an abundant number, since it is smaller than the sum of its proper divisors (59709992).

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

45631936 is a wasteful number, since it uses less digits than its factorization.

45631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14577 (or 14560 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 45631936 is about 6755.1414492962. The cubic root of 45631936 is about 357.3465812766.

The spelling of 45631936 in words is "forty-five million, six hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 14551 29102 58204 101857 116408 203714 232816 407428 465632 712999 814856 931264 1425998 1629712 2851996 3259424 5703992 6518848 11407984 22815968 45631936