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45620424 = 23321095813
BaseRepresentation
bin1010111000000…
…1110011001000
310011211202110100
42232001303020
543134323144
64305445400
71062524103
oct256016310
9104752410
1045620424
112382a333
1213340860
1395b3b45
1460b773a
154012269
hex2b81cc8

45620424 has 48 divisors (see below), whose sum is σ = 124710300. Its totient is φ = 15064704.

The previous prime is 45620423. The next prime is 45620429. The reversal of 45620424 is 42402654.

45620424 is a `hidden beast` number, since 456 + 204 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43797924 + 1822500 = 6618^2 + 1350^2 .

It is not an unprimeable number, because it can be changed into a prime (45620423) 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, 4942 + ... + 10754.

Almost surely, 245620424 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 45620424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355150).

45620424 is an abundant number, since it is smaller than the sum of its proper divisors (79089876).

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

45620424 is a wasteful number, since it uses less digits than its factorization.

45620424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 45620424 is about 6754.2893038424. The cubic root of 45620424 is about 357.3165283488.

The spelling of 45620424 in words is "forty-five million, six hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 5813 7848 11626 17439 23252 34878 46504 52317 69756 104634 139512 209268 418536 633617 1267234 1900851 2534468 3801702 5068936 5702553 7603404 11405106 15206808 22810212 45620424