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45079488 = 2632611283
BaseRepresentation
bin1010101111110…
…1101111000000
310010211021102200
42223331233000
543020020423
64250113200
71055112036
oct253755700
9103737380
1045079488
112349a983
121311b800
13945486c
145db6556
153e56d43
hex2afdbc0

45079488 has 84 divisors (see below), whose sum is σ = 131432808. Its totient is φ = 14768640.

The previous prime is 45079477. The next prime is 45079499. The reversal of 45079488 is 88497054.

It is an interprime number because it is at equal distance from previous prime (45079477) and next prime (45079499).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34495 + ... + 35777.

Almost surely, 245079488 is an apocalyptic number.

45079488 is a gapful number since it is divisible by the number (48) 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 45079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65716404).

45079488 is an abundant number, since it is smaller than the sum of its proper divisors (86353320).

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

45079488 is a wasteful number, since it uses less digits than its factorization.

45079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45079488 is about 6714.1260041795. The cubic root of 45079488 is about 355.8986371353.

The spelling of 45079488 in words is "forty-five million, seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1283 1464 1952 2196 2566 2928 3849 3904 4392 5132 5856 7698 8784 10264 11547 11712 15396 17568 20528 23094 30792 35136 41056 46188 61584 78263 82112 92376 123168 156526 184752 234789 246336 313052 369504 469578 626104 704367 739008 939156 1252208 1408734 1878312 2504416 2817468 3756624 5008832 5634936 7513248 11269872 15026496 22539744 45079488