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45880496 = 2431233397
BaseRepresentation
bin1010111100000…
…1010010110000
310012022222012122
42233001102300
543221133441
64315213412
71064656244
oct257012260
9105288178
1045880496
1123997772
1213447268
13967532c
146144424
15406434b
hex2bc14b0

45880496 has 40 divisors (see below), whose sum is σ = 92386944. Its totient is φ = 22049280.

The previous prime is 45880493. The next prime is 45880511. The reversal of 45880496 is 69408854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45880493) 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, 115370 + ... + 115766.

Almost surely, 245880496 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 45880496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193472).

45880496 is an abundant number, since it is smaller than the sum of its proper divisors (46506448).

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

45880496 is a wasteful number, since it uses less digits than its factorization.

45880496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 45880496 is about 6773.5143020444. The cubic root of 45880496 is about 357.9942364583.

The spelling of 45880496 in words is "forty-five million, eight hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 233 248 397 466 496 794 932 1588 1864 3176 3728 6352 7223 12307 14446 24614 28892 49228 57784 92501 98456 115568 185002 196912 370004 740008 1480016 2867531 5735062 11470124 22940248 45880496