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45868480 = 265720477
BaseRepresentation
bin1010111011111…
…0010111000000
310012022100201121
42232332113000
543220242410
64315042024
71064606230
oct256762700
9105270647
1045868480
1123989739
1213440314
13966ca18
14613dcc0
1540609da
hex2bbe5c0

45868480 has 56 divisors (see below), whose sum is σ = 124833888. Its totient is φ = 15725568.

The previous prime is 45868469. The next prime is 45868481. The reversal of 45868480 is 8486854.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45868481) 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, 7999 + ... + 12478.

Almost surely, 245868480 is an apocalyptic number.

45868480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45868480 is an abundant number, since it is smaller than the sum of its proper divisors (78965408).

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

45868480 is a wasteful number, since it uses less digits than its factorization.

45868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20501 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 45868480 is about 6772.6272597863. The cubic root of 45868480 is about 357.9629810978.

The spelling of 45868480 in words is "forty-five million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 20477 40954 81908 102385 143339 163816 204770 286678 327632 409540 573356 655264 716695 819080 1146712 1310528 1433390 1638160 2293424 2866780 3276320 4586848 5733560 6552640 9173696 11467120 22934240 45868480