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45869712 = 2437211647
BaseRepresentation
bin1010111011111…
…0101010010000
310012022102102020
42232332222100
543220312322
64315051440
71064612640
oct256765220
9105272366
1045869712
112398a659
1213440b80
139670455
146140520
15406105c
hex2bbea90

45869712 has 80 divisors (see below), whose sum is σ = 136276992. Its totient is φ = 13023360.

The previous prime is 45869687. The next prime is 45869717. The reversal of 45869712 is 21796854.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45869717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70573 + ... + 71219.

Almost surely, 245869712 is an apocalyptic number.

45869712 is a gapful number since it is divisible by the number (42) 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 45869712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68138496).

45869712 is an abundant number, since it is smaller than the sum of its proper divisors (90407280).

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

45869712 is a wasteful number, since it uses less digits than its factorization.

45869712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 45869712 is about 6772.7182135388. The cubic root of 45869712 is about 357.9661859598.

The spelling of 45869712 in words is "forty-five million, eight hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 647 844 1266 1294 1477 1688 1941 2532 2588 2954 3376 3882 4431 4529 5064 5176 5908 7764 8862 9058 10128 10352 11816 13587 15528 17724 18116 23632 27174 31056 35448 36232 54348 70896 72464 108696 136517 217392 273034 409551 546068 819102 955619 1092136 1638204 1911238 2184272 2866857 3276408 3822476 5733714 6552816 7644952 11467428 15289904 22934856 45869712