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45832085 = 51317193759
BaseRepresentation
bin1010111011010…
…1011110010101
310012020111210122
42232311132111
543213111320
64314201325
71064365145
oct256653625
9105214718
1045832085
1123964362
1213423245
1396592a0
146130925
154054d25
hex2bb5795

45832085 has 64 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 28864512.

The previous prime is 45832079. The next prime is 45832099. The reversal of 45832085 is 58023854.

It is a cyclic number.

It is not a de Polignac number, because 45832085 - 24 = 45832069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776786 + ... + 776844.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 245832085 is an apocalyptic number.

It is an amenable number.

45832085 is a deficient number, since it is larger than the sum of its proper divisors (23115115).

45832085 is a wasteful number, since it uses less digits than its factorization.

45832085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 45832085 is about 6769.9398077088. The cubic root of 45832085 is about 357.8682791006.

The spelling of 45832085 in words is "forty-five million, eight hundred thirty-two thousand, eighty-five".

Divisors: 1 5 13 17 19 37 59 65 85 95 185 221 247 295 323 481 629 703 767 1003 1105 1121 1235 1615 2183 2405 3145 3515 3835 4199 5015 5605 8177 9139 10915 11951 13039 14573 19057 20995 28379 37111 40885 41477 45695 59755 65195 72865 95285 141895 155363 185555 207385 247741 482443 539201 705109 776815 1238705 2412215 2696005 3525545 9166417 45832085