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45194496 = 28383709
BaseRepresentation
bin1010110001100…
…1110100000000
310011001010012020
42230121310000
543032210441
64252401440
71056101244
oct254316400
9104033166
1045194496
1123569326
1213176280
139495009
146006424
153e7ae66
hex2b19d00

45194496 has 72 divisors (see below), whose sum is σ = 121904160. Its totient is φ = 14862336.

The previous prime is 45194477. The next prime is 45194503. The reversal of 45194496 is 69449154.

It is a congruent number.

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, 63390 + ... + 64098.

Almost surely, 245194496 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 45194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60952080).

45194496 is an abundant number, since it is smaller than the sum of its proper divisors (76709664).

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

45194496 is an equidigital number, since it uses as much as digits as its factorization.

45194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 45194496 is about 6722.6851778140. The cubic root of 45194496 is about 356.2010395011.

The spelling of 45194496 in words is "forty-five million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 709 768 996 1328 1418 1992 2127 2656 2836 3984 4254 5312 5672 7968 8508 10624 11344 15936 17016 21248 22688 31872 34032 45376 58847 63744 68064 90752 117694 136128 176541 181504 235388 272256 353082 470776 544512 706164 941552 1412328 1883104 2824656 3766208 5649312 7532416 11298624 15064832 22597248 45194496