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47632680 = 23325132313
BaseRepresentation
bin1011010110110…
…1000100101000
310022121222202100
42311231010220
544143221210
64420533400
71115604534
oct265550450
9108558670
1047632680
1124984157
1213b51260
139b39a24
14647cbc4
1542ad5c0
hex2d6d128

47632680 has 48 divisors (see below), whose sum is σ = 154807380. Its totient is φ = 12701952.

The previous prime is 47632679. The next prime is 47632681. The reversal of 47632680 is 8623674.

It is an interprime number because it is at equal distance from previous prime (47632679) and next prime (47632681).

It can be written as a sum of positive squares in 2 ways, for example, as 45400644 + 2232036 = 6738^2 + 1494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47632681) 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, 65797 + ... + 66516.

Almost surely, 247632680 is an apocalyptic number.

47632680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47632680 is an abundant number, since it is smaller than the sum of its proper divisors (107174700).

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

47632680 is a wasteful number, since it uses less digits than its factorization.

47632680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132330 (or 132323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47632680 is about 6901.6432825813. The cubic root of 47632680 is about 362.4947093956.

The spelling of 47632680 in words is "forty-seven million, six hundred thirty-two thousand, six hundred eighty".

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 132313 264626 396939 529252 661565 793878 1058504 1190817 1323130 1587756 1984695 2381634 2646260 3175512 3969390 4763268 5292520 5954085 7938780 9526536 11908170 15877560 23816340 47632680