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45632620 = 22511316691
BaseRepresentation
bin1010111000010…
…0110001101100
310011212101012001
42232010301230
543140220440
64310022044
71062604465
oct256046154
9104771161
1045632620
1123838510
1213347924
1395b9567
1460bbd6c
154015b9a
hex2b84c6c

45632620 has 48 divisors (see below), whose sum is σ = 107928576. Its totient is φ = 16056000.

The previous prime is 45632599. The next prime is 45632633. The reversal of 45632620 is 2623654.

It is a happy 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, 3475 + ... + 10165.

It is an arithmetic number, because the mean of its divisors is an integer number (2248512).

Almost surely, 245632620 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 45632620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53964288).

45632620 is an abundant number, since it is smaller than the sum of its proper divisors (62295956).

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

45632620 is a wasteful number, since it uses less digits than its factorization.

45632620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 45632620 is about 6755.1920772099. The cubic root of 45632620 is about 357.3483667501.

The spelling of 45632620 in words is "forty-five million, six hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6691 6820 13382 26764 33455 66910 73601 133820 147202 207421 294404 368005 414842 736010 829684 1037105 1472020 2074210 2281631 4148420 4563262 9126524 11408155 22816310 45632620