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45614268 = 22327315839
BaseRepresentation
bin1010111000000…
…0010010111100
310011211110000100
42232000102330
543134124033
64305401100
71062500130
oct256002274
9104743010
1045614268
1123825747
1213339190
1395b10bb
1460b53c0
154010513
hex2b804bc

45614268 has 72 divisors (see below), whose sum is σ = 136048640. Its totient is φ = 12610080.

The previous prime is 45614251. The next prime is 45614273. The reversal of 45614268 is 86241654.

45614268 is a `hidden beast` number, since 456 + 142 + 68 = 666.

It is a super-2 number, since 2×456142682 = 4161322890351648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4893 + ... + 10731.

Almost surely, 245614268 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 45614268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68024320).

45614268 is an abundant number, since it is smaller than the sum of its proper divisors (90434372).

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

45614268 is a wasteful number, since it uses less digits than its factorization.

45614268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5882 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45614268 is about 6753.8335780503. The cubic root of 45614268 is about 357.3004555807.

The spelling of 45614268 in words is "forty-five million, six hundred fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 5839 7812 11678 17517 23356 35034 40873 52551 70068 81746 105102 122619 163492 181009 210204 245238 362018 367857 490476 543027 724036 735714 1086054 1267063 1471428 1629081 2172108 2534126 3258162 3801189 5068252 6516324 7602378 11403567 15204756 22807134 45614268