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45917088 = 253768329
BaseRepresentation
bin1010111100101…
…0001110100000
310012101211101220
42233022032200
543223321323
64320055040
71065201030
oct257121640
9105354356
1045917088
1123a12208
1213464480
139688b99
1461538c0
1540700e3
hex2bca3a0

45917088 has 48 divisors (see below), whose sum is σ = 137753280. Its totient is φ = 13118976.

The previous prime is 45917071. The next prime is 45917101. The reversal of 45917088 is 88071954.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33493 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (2869860).

Almost surely, 245917088 is an apocalyptic number.

45917088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45917088 is an abundant number, since it is smaller than the sum of its proper divisors (91836192).

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

45917088 is a wasteful number, since it uses less digits than its factorization.

45917088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68349 (or 68341 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 45917088 is about 6776.2148726262. The cubic root of 45917088 is about 358.0893839627.

The spelling of 45917088 in words is "forty-five million, nine hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 68329 136658 204987 273316 409974 478303 546632 819948 956606 1093264 1434909 1639896 1913212 2186528 2869818 3279792 3826424 5739636 6559584 7652848 11479272 15305696 22958544 45917088