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45092664 = 23326110267
BaseRepresentation
bin1010110000000…
…0111100111000
310010211221111200
42230000330320
543020431124
64250254200
71055165331
oct254007470
9103757450
1045092664
11234a9871
1213127360
13945a866
145dbb288
153e5abc9
hex2b00f38

45092664 has 48 divisors (see below), whose sum is σ = 124140120. Its totient is φ = 14783040.

The previous prime is 45092657. The next prime is 45092669. The reversal of 45092664 is 46629054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45092669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 9525.

Almost surely, 245092664 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 45092664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62070060).

45092664 is an abundant number, since it is smaller than the sum of its proper divisors (79047456).

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

45092664 is a wasteful number, since it uses less digits than its factorization.

45092664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45092664 is about 6715.1071473209. The cubic root of 45092664 is about 355.9333082156.

The spelling of 45092664 in words is "forty-five million, ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 10267 20534 30801 41068 61602 82136 92403 123204 184806 246408 369612 626287 739224 1252574 1878861 2505148 3757722 5010296 5636583 7515444 11273166 15030888 22546332 45092664