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45696 = 273717
BaseRepresentation
bin1011001010000000
32022200110
423022000
52430241
6551320
7250140
oct131200
968613
1045696
1131372
1222540
1317a51
1412920
15d816
hexb280

45696 has 64 divisors (see below), whose sum is σ = 146880. Its totient is φ = 12288.

The previous prime is 45691. The next prime is 45697. The reversal of 45696 is 69654.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (45691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2680 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

245696 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 45696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

45696 is an abundant number, since it is smaller than the sum of its proper divisors (101184).

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

45696 is a wasteful number, since it uses less digits than its factorization.

45696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 45696 is about 213.7662274542. The cubic root of 45696 is about 35.7513732825.

It can be divided in two parts, 45 and 696, that added together give a triangular number (741 = T38).

The spelling of 45696 in words is "forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696