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45434496 = 273179661
BaseRepresentation
bin1010110101010…
…0011010000000
310011111022102010
42231110122000
543112400441
64301452520
71061121042
oct255243200
9104438363
1045434496
1123712678
1213271140
13954a323
146069a92
153ec7116
hex2b54680

45434496 has 64 divisors (see below), whose sum is σ = 121543200. Its totient is φ = 15037440.

The previous prime is 45434479. The next prime is 45434527. The reversal of 45434496 is 69443454.

It is a tau number, because it is divible by the number of its divisors (64).

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, 68406 + ... + 69066.

Almost surely, 245434496 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 45434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60771600).

45434496 is an abundant number, since it is smaller than the sum of its proper divisors (76108704).

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

45434496 is a wasteful number, since it uses less digits than its factorization.

45434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 45434496 is about 6740.5115532873. The cubic root of 45434496 is about 356.8304477760.

The spelling of 45434496 in words is "forty-five million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 661 716 1074 1322 1432 1983 2148 2644 2864 3966 4296 5288 5728 7932 8592 10576 11456 15864 17184 21152 22912 31728 34368 42304 63456 68736 84608 118319 126912 236638 253824 354957 473276 709914 946552 1419828 1893104 2839656 3786208 5679312 7572416 11358624 15144832 22717248 45434496