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45332952 = 23371491811
BaseRepresentation
bin1010110011101…
…1100111011000
310011022011010020
42230323213120
543101123302
64255350440
71060216020
oct254734730
9104264106
1045332952
1123653355
1213222420
139513042
146040a80
153ea6ebc
hex2b3b9d8

45332952 has 64 divisors (see below), whose sum is σ = 130464000. Its totient is φ = 12858240.

The previous prime is 45332939. The next prime is 45332983. The reversal of 45332952 is 25923354.

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, 24127 + ... + 25937.

It is an arithmetic number, because the mean of its divisors is an integer number (2038500).

Almost surely, 245332952 is an apocalyptic number.

45332952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45332952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65232000).

45332952 is an abundant number, since it is smaller than the sum of its proper divisors (85131048).

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

45332952 is a wasteful number, since it uses less digits than its factorization.

45332952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1972 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 45332952 is about 6732.9749739621. The cubic root of 45332952 is about 356.5644162984.

The spelling of 45332952 in words is "forty-five million, three hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 1811 2086 3129 3576 3622 4172 5433 6258 7244 8344 10866 12516 12677 14488 21732 25032 25354 38031 43464 50708 76062 101416 152124 269839 304248 539678 809517 1079356 1619034 1888873 2158712 3238068 3777746 5666619 6476136 7555492 11333238 15110984 22666476 45332952