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45150656 = 262337829
BaseRepresentation
bin1010110000111…
…1000111000000
310010221220001112
42230033013000
543024310111
64251422452
71055526365
oct254170700
9103856045
1045150656
11235393a1
1213154a28
13947b085
145dd446c
153e6ce8b
hex2b0f1c0

45150656 has 56 divisors (see below), whose sum is σ = 96133920. Its totient is φ = 20984832.

The previous prime is 45150653. The next prime is 45150667. The reversal of 45150656 is 65605154.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45150653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54050 + ... + 54878.

Almost surely, 245150656 is an apocalyptic number.

45150656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48066960).

45150656 is an abundant number, since it is smaller than the sum of its proper divisors (50983264).

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

45150656 is a wasteful number, since it uses less digits than its factorization.

45150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 45150656 is about 6719.4237848196. The cubic root of 45150656 is about 356.0858270530.

The spelling of 45150656 in words is "forty-five million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 148 184 296 368 592 736 829 851 1184 1472 1658 1702 2368 3316 3404 6632 6808 13264 13616 19067 26528 27232 30673 38134 53056 54464 61346 76268 122692 152536 245384 305072 490768 610144 705479 981536 1220288 1410958 1963072 2821916 5643832 11287664 22575328 45150656