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45037056 = 293109269
BaseRepresentation
bin1010101111001…
…1011000000000
310010202010020010
42223303120000
543012141211
64245144520
71054544241
oct253633000
9103663203
1045037056
1123471009
12130bb140
13943b45c
145da4cc8
153e494a6
hex2af3600

45037056 has 80 divisors (see below), whose sum is σ = 121532400. Its totient is φ = 14819328.

The previous prime is 45037051. The next prime is 45037067. The reversal of 45037056 is 65073054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45037051) 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, 167290 + ... + 167558.

It is an arithmetic number, because the mean of its divisors is an integer number (1519155).

Almost surely, 245037056 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 45037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60766200).

45037056 is an abundant number, since it is smaller than the sum of its proper divisors (76495344).

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

45037056 is a wasteful number, since it uses less digits than its factorization.

45037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 45037056 is about 6710.9653552973. The cubic root of 45037056 is about 355.7869364313.

The spelling of 45037056 in words is "forty-five million, thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 269 327 384 436 512 538 654 768 807 872 1076 1308 1536 1614 1744 2152 2616 3228 3488 4304 5232 6456 6976 8608 10464 12912 13952 17216 20928 25824 27904 29321 34432 41856 51648 55808 58642 68864 83712 87963 103296 117284 137728 167424 175926 206592 234568 351852 413184 469136 703704 938272 1407408 1876544 2814816 3753088 5629632 7506176 11259264 15012352 22518528 45037056