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47064680 = 23513293121
BaseRepresentation
bin1011001110001…
…0011001101000
310021120010121022
42303202121220
544022032210
64400432012
71111020545
oct263423150
9107503538
1047064680
1124626433
1213918608
13999b330
146371bcc
1541ea155
hex2ce2668

47064680 has 64 divisors (see below), whose sum is σ = 118011600. Its totient is φ = 16773120.

The previous prime is 47064671. The next prime is 47064697. The reversal of 47064680 is 8646074.

It can be written as a sum of positive squares in 8 ways, for example, as 1069156 + 45995524 = 1034^2 + 6782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47064680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13520 + ... + 16640.

Almost surely, 247064680 is an apocalyptic number.

47064680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59005800).

47064680 is an abundant number, since it is smaller than the sum of its proper divisors (70946920).

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

47064680 is a wasteful number, since it uses less digits than its factorization.

47064680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 47064680 is about 6860.3702523989. The cubic root of 47064680 is about 361.0480774309.

The spelling of 47064680 in words is "forty-seven million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3121 3770 6242 7540 12484 15080 15605 24968 31210 40573 62420 81146 90509 124840 162292 181018 202865 324584 362036 405730 452545 724072 811460 905090 1176617 1622920 1810180 2353234 3620360 4706468 5883085 9412936 11766170 23532340 47064680