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45540656 = 247795147
BaseRepresentation
bin1010110110111…
…0010100110000
310011200201000222
42231232110300
543124300111
64304032212
71062042410
oct255562460
9104621028
1045540656
1123785407
1213302668
139586745
146096640
153ee87db
hex2b6e530

45540656 has 40 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 19266624.

The previous prime is 45540653. The next prime is 45540659. The reversal of 45540656 is 65604554.

45540656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45540653) and next prime (45540659).

It is not an unprimeable number, because it can be changed into a prime (45540653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6275 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 245540656 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 45540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

45540656 is an abundant number, since it is smaller than the sum of its proper divisors (56595664).

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

45540656 is a wasteful number, since it uses less digits than its factorization.

45540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 45540656 is about 6748.3817319414. The cubic root of 45540656 is about 357.1081490690.

The spelling of 45540656 in words is "forty-five million, five hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 5147 8848 10294 20588 36029 41176 72058 82352 144116 288232 406613 576464 813226 1626452 2846291 3252904 5692582 6505808 11385164 22770328 45540656