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47465640 = 23325131849
BaseRepresentation
bin1011010100010…
…0010010101000
310022022111121200
42311010102220
544122400030
64413204200
71114310535
oct265042250
9108274550
1047465640
112487a702
1213a90660
139aab9a1
146437d8c
154278d60
hex2d444a8

47465640 has 48 divisors (see below), whose sum is σ = 154264500. Its totient is φ = 12657408.

The previous prime is 47465611. The next prime is 47465641. The reversal of 47465640 is 4656474.

47465640 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39614436 + 7851204 = 6294^2 + 2802^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 47465595 and 47465604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47465641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65565 + ... + 66284.

Almost surely, 247465640 is an apocalyptic number.

47465640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47465640 is an abundant number, since it is smaller than the sum of its proper divisors (106798860).

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

47465640 is a wasteful number, since it uses less digits than its factorization.

47465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131866 (or 131859 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47465640 is about 6889.5311886949. The cubic root of 47465640 is about 362.0704765970.

The spelling of 47465640 in words is "forty-seven million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 131849 263698 395547 527396 659245 791094 1054792 1186641 1318490 1582188 1977735 2373282 2636980 3164376 3955470 4746564 5273960 5933205 7910940 9493128 11866410 15821880 23732820 47465640