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47105316 = 223212710303
BaseRepresentation
bin1011001110110…
…0010100100100
310021122012100100
42303230110210
544024332231
64401344100
71111250166
oct263542444
9107565310
1047105316
1124653a15
1213938030
1399b398b
146382936
1542071e6
hex2cec524

47105316 has 36 divisors (see below), whose sum is σ = 120020992. Its totient is φ = 15576624.

The previous prime is 47105291. The next prime is 47105321. The reversal of 47105316 is 61350174.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47105316.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580 + ... + 9723.

Almost surely, 247105316 is an apocalyptic number.

It is an amenable number.

47105316 is an abundant number, since it is smaller than the sum of its proper divisors (72915676).

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

47105316 is a wasteful number, since it uses less digits than its factorization.

47105316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 47105316 is about 6863.3312611297. The cubic root of 47105316 is about 361.1519580847.

The spelling of 47105316 in words is "forty-seven million, one hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 10303 20606 30909 41212 61818 92727 123636 185454 370908 1308481 2616962 3925443 5233924 7850886 11776329 15701772 23552658 47105316