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45993696 = 253768443
BaseRepresentation
bin1010111101110…
…0111011100000
310012112201111020
42233130323200
543233244241
64321445440
71065640260
oct257347340
9105481436
1045993696
1123a64821
12134a0880
1396b4a08
1461737a0
154087b66
hex2bdcee0

45993696 has 48 divisors (see below), whose sum is σ = 137983104. Its totient is φ = 13140864.

The previous prime is 45993679. The next prime is 45993697. The reversal of 45993696 is 69639954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45993697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33550 + ... + 34893.

It is an arithmetic number, because the mean of its divisors is an integer number (2874648).

Almost surely, 245993696 is an apocalyptic number.

It is an amenable number.

45993696 is an abundant number, since it is smaller than the sum of its proper divisors (91989408).

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

45993696 is a wasteful number, since it uses less digits than its factorization.

45993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68463 (or 68455 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 51.

The square root of 45993696 is about 6781.8652301561. The cubic root of 45993696 is about 358.2884185757.

The spelling of 45993696 in words is "forty-five million, nine hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 68443 136886 205329 273772 410658 479101 547544 821316 958202 1095088 1437303 1642632 1916404 2190176 2874606 3285264 3832808 5749212 6570528 7665616 11498424 15331232 22996848 45993696