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45082136 = 23111959457
BaseRepresentation
bin1010101111111…
…0011000011000
310010211102001202
42223332120120
543020112021
64250133332
71055122541
oct253763030
9103742052
1045082136
11234a1970
1213121248
139455b28
145db74c8
153e57a0b
hex2afe618

45082136 has 64 divisors (see below), whose sum is σ = 98928000. Its totient is φ = 19042560.

The previous prime is 45082127. The next prime is 45082157. The reversal of 45082136 is 63128054.

It is a junction number, because it is equal to n+sod(n) for n = 45082099 and 45082108.

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, 98420 + ... + 98876.

It is an arithmetic number, because the mean of its divisors is an integer number (1545750).

Almost surely, 245082136 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 45082136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49464000).

45082136 is an abundant number, since it is smaller than the sum of its proper divisors (53845864).

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

45082136 is a wasteful number, since it uses less digits than its factorization.

45082136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 45082136 is about 6714.3231974638. The cubic root of 45082136 is about 355.9056055755.

The spelling of 45082136 in words is "forty-five million, eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 38 44 59 76 88 118 152 209 236 418 457 472 649 836 914 1121 1298 1672 1828 2242 2596 3656 4484 5027 5192 8683 8968 10054 12331 17366 20108 24662 26963 34732 40216 49324 53926 69464 95513 98648 107852 191026 215704 296593 382052 512297 593186 764104 1024594 1186372 2049188 2372744 4098376 5635267 11270534 22541068 45082136