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47073672 = 2332653801
BaseRepresentation
bin1011001110010…
…0100110001000
310021120120221100
42303210212020
544022324142
64400541400
71111056012
oct263444610
9107516840
1047073672
1124632168
1213921860
1399a2459
1463751b2
1541ecb4c
hex2ce4988

47073672 has 24 divisors (see below), whose sum is σ = 127491390. Its totient is φ = 15691200.

The previous prime is 47073647. The next prime is 47073683. The reversal of 47073672 is 27637074.

It can be written as a sum of positive squares in only one way, i.e., 27941796 + 19131876 = 5286^2 + 4374^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 326829 + ... + 326972.

Almost surely, 247073672 is an apocalyptic number.

It is an amenable number.

47073672 is an abundant number, since it is smaller than the sum of its proper divisors (80417718).

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

47073672 is a wasteful number, since it uses less digits than its factorization.

47073672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653813 (or 653806 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 47073672 is about 6861.0255793139. The cubic root of 47073672 is about 361.0710694607.

The spelling of 47073672 in words is "forty-seven million, seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 653801 1307602 1961403 2615204 3922806 5230408 5884209 7845612 11768418 15691224 23536836 47073672