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47472642 = 234741863
BaseRepresentation
bin1011010100011…
…0000000000010
310022022212020000
42311012000002
544123111032
64413300430
71114340130
oct265060002
9108285200
1047472642
1124884998
1213a94716
139ab1c29
14643a750
15427ae7c
hex2d46002

47472642 has 40 divisors (see below), whose sum is σ = 121573056. Its totient is φ = 13563288.

The previous prime is 47472631. The next prime is 47472671. The reversal of 47472642 is 24627474.

It is a happy number.

47472642 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47472597 and 47472606.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19798 + ... + 22065.

Almost surely, 247472642 is an apocalyptic number.

47472642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

47472642 is an abundant number, since it is smaller than the sum of its proper divisors (74100414).

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

47472642 is a wasteful number, since it uses less digits than its factorization.

47472642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41884 (or 41875 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 47472642 is about 6890.0393322535. The cubic root of 47472642 is about 362.0882796002.

The spelling of 47472642 in words is "forty-seven million, four hundred seventy-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 41863 83726 125589 251178 293041 376767 586082 753534 879123 1130301 1758246 2260602 2637369 3390903 5274738 6781806 7912107 15824214 23736321 47472642