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45626096 = 2417434783
BaseRepresentation
bin1010111000001…
…1001011110000
310011212001020102
42232003023300
543140013341
64305531532
71062546455
oct256031360
9104761212
1045626096
112383361a
1213343ba8
1395b65b9
1460b982c
154013c9b
hex2b832f0

45626096 has 80 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 20278272.

The previous prime is 45626059. The next prime is 45626101. The reversal of 45626096 is 69062654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549671 + ... + 549753.

Almost surely, 245626096 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 45626096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

45626096 is an abundant number, since it is smaller than the sum of its proper divisors (53367568).

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

45626096 is a wasteful number, since it uses less digits than its factorization.

45626096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 45626096 is about 6754.7091721258. The cubic root of 45626096 is about 357.3313361563.

The spelling of 45626096 in words is "forty-five million, six hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 43 47 68 83 86 94 136 166 172 188 272 332 344 376 664 688 731 752 799 1328 1411 1462 1598 2021 2822 2924 3196 3569 3901 4042 5644 5848 6392 7138 7802 8084 11288 11696 12784 14276 15604 16168 22576 28552 31208 32336 34357 57104 60673 62416 66317 68714 121346 132634 137428 167743 242692 265268 274856 335486 485384 530536 549712 670972 970768 1061072 1341944 2683888 2851631 5703262 11406524 22813048 45626096