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45315684 = 22321997683
BaseRepresentation
bin1010110011011…
…1011001100100
310011021021102200
42230313121210
543100100214
64255134500
71060114461
oct254673144
9104237380
1045315684
1123641387
1213214430
13950821b
146038668
153ea1d09
hex2b37664

45315684 has 72 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 14141952.

The previous prime is 45315671. The next prime is 45315709. The reversal of 45315684 is 48651354.

It is a happy number.

It is a super-2 number, since 2×453156842 = 4107022432775712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66007 + ... + 66689.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 245315684 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 45315684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

45315684 is an abundant number, since it is smaller than the sum of its proper divisors (76682556).

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

45315684 is a wasteful number, since it uses less digits than its factorization.

45315684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 804 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45315684 is about 6731.6925063464. The cubic root of 45315684 is about 356.5191369742.

The spelling of 45315684 in words is "forty-five million, three hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 582 683 684 873 1164 1366 1746 1843 2049 2732 3492 3686 4098 5529 6147 7372 8196 11058 12294 12977 16587 22116 24588 25954 33174 38931 51908 66251 66348 77862 116793 132502 155724 198753 233586 265004 397506 467172 596259 795012 1192518 1258769 2385036 2517538 3776307 5035076 7552614 11328921 15105228 22657842 45315684