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45705036 = 22313231727
BaseRepresentation
bin1010111001011…
…0011101001100
310012000001112010
42232112131030
543200030121
64311341220
71063325556
oct256263514
9105001463
1045705036
1123887963
1213381810
139613500
1460da4d6
15402c376
hex2b9674c

45705036 has 72 divisors (see below), whose sum is σ = 119368704. Its totient is φ = 13590720.

The previous prime is 45705019. The next prime is 45705041. The reversal of 45705036 is 63050754.

It is a super-2 number, since 2×457050362 = 4177900631522592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45704994 and 45705012.

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, 62505 + ... + 63231.

Almost surely, 245705036 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 45705036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59684352).

45705036 is an abundant number, since it is smaller than the sum of its proper divisors (73663668).

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

45705036 is a wasteful number, since it uses less digits than its factorization.

45705036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 45705036 is about 6760.5499776276. The cubic root of 45705036 is about 357.5372963844.

The spelling of 45705036 in words is "forty-five million, seven hundred five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 727 806 1014 1209 1454 1612 2028 2181 2418 2908 4362 4836 5239 8724 9451 10478 15717 18902 20956 22537 28353 31434 37804 45074 56706 62868 67611 90148 113412 122863 135222 245726 270444 292981 368589 491452 585962 737178 878943 1171924 1474356 1757886 3515772 3808753 7617506 11426259 15235012 22852518 45705036