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45352656 = 2433277379
BaseRepresentation
bin1010110100000…
…0011011010000
310011100011011000
42231000123100
543102241111
64300022000
71060330326
oct255003320
9104304130
1045352656
1123667138
1213231900
13951bcbb
146047d16
153eacc56
hex2b406d0

45352656 has 80 divisors (see below), whose sum is σ = 130993600. Its totient is φ = 15023232.

The previous prime is 45352649. The next prime is 45352661. The reversal of 45352656 is 65625354.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45352656.

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, 119475 + ... + 119853.

It is an arithmetic number, because the mean of its divisors is an integer number (1637420).

Almost surely, 245352656 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 45352656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65496800).

45352656 is an abundant number, since it is smaller than the sum of its proper divisors (85640944).

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

45352656 is a wasteful number, since it uses less digits than its factorization.

45352656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45352656 is about 6734.4380611897. The cubic root of 45352656 is about 356.6160691416.

The spelling of 45352656 in words is "forty-five million, three hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 277 379 432 554 758 831 1108 1137 1516 1662 2216 2274 2493 3032 3324 3411 4432 4548 4986 6064 6648 6822 7479 9096 9972 10233 13296 13644 14958 18192 19944 20466 27288 29916 39888 40932 54576 59832 81864 104983 119664 163728 209966 314949 419932 629898 839864 944847 1259796 1679728 1889694 2519592 2834541 3779388 5039184 5669082 7558776 11338164 15117552 22676328 45352656