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45566440 = 23510091129
BaseRepresentation
bin1010110111010…
…0100111101000
310011202000101221
42231310213220
543131111230
64304351424
71062210523
oct255644750
9104660357
1045566440
11237a2817
1213315574
1395953ba
1460a1bba
15400127a
hex2b749e8

45566440 has 32 divisors (see below), whose sum is σ = 102717000. Its totient is φ = 18192384.

The previous prime is 45566431. The next prime is 45566441. The reversal of 45566440 is 4466554.

It can be written as a sum of positive squares in 4 ways, for example, as 21771556 + 23794884 = 4666^2 + 4878^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45566396 and 45566405.

It is not an unprimeable number, because it can be changed into a prime (45566441) 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, 39796 + ... + 40924.

Almost surely, 245566440 is an apocalyptic number.

45566440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45566440 is an abundant number, since it is smaller than the sum of its proper divisors (57150560).

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

45566440 is a wasteful number, since it uses less digits than its factorization.

45566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 45566440 is about 6750.2918455427. The cubic root of 45566440 is about 357.1755316391.

The spelling of 45566440 in words is "forty-five million, five hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1009 1129 2018 2258 4036 4516 5045 5645 8072 9032 10090 11290 20180 22580 40360 45160 1139161 2278322 4556644 5695805 9113288 11391610 22783220 45566440