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45743680 = 265142949
BaseRepresentation
bin1010111001111…
…1111001000000
310012002000112101
42232133321000
543202244210
64312240144
71063546333
oct256377100
9105060471
1045743680
11239039a4
12133a0054
139627c88
14610a61a
154038a3a
hex2b9fe40

45743680 has 28 divisors (see below), whose sum is σ = 108927900. Its totient is φ = 18297344.

The previous prime is 45743669. The next prime is 45743681. The reversal of 45743680 is 8634754.

It can be written as a sum of positive squares in 2 ways, for example, as 19855936 + 25887744 = 4456^2 + 5088^2 .

It is not an unprimeable number, because it can be changed into a prime (45743681) 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, 71155 + ... + 71794.

Almost surely, 245743680 is an apocalyptic number.

45743680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45743680 is an abundant number, since it is smaller than the sum of its proper divisors (63184220).

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

45743680 is a wasteful number, since it uses less digits than its factorization.

45743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142966 (or 142956 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 45743680 is about 6763.4074252554. The cubic root of 45743680 is about 357.6380349483.

The spelling of 45743680 in words is "forty-five million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 142949 285898 571796 714745 1143592 1429490 2287184 2858980 4574368 5717960 9148736 11435920 22871840 45743680