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47732680 = 2353373541
BaseRepresentation
bin1011011000010…
…1011111001000
310022211001221001
42312011133020
544204421210
64423024344
71116502222
oct266053710
9108731831
1047732680
1124a422a6
1213b9b0b4
139b733b8
1464a7412
1542cd03a
hex2d857c8

47732680 has 32 divisors (see below), whose sum is σ = 107747640. Its totient is φ = 19031040.

The previous prime is 47732611. The next prime is 47732687. The reversal of 47732680 is 8623774.

47732680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31427236 + 16305444 = 5606^2 + 4038^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (47732687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11710 + ... + 15250.

Almost surely, 247732680 is an apocalyptic number.

47732680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47732680 is an abundant number, since it is smaller than the sum of its proper divisors (60014960).

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

47732680 is a wasteful number, since it uses less digits than its factorization.

47732680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 47732680 is about 6908.8841356619. The cubic root of 47732680 is about 362.7482057565.

The spelling of 47732680 in words is "forty-seven million, seven hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 3541 6740 7082 13480 14164 17705 28328 35410 70820 141640 1193317 2386634 4773268 5966585 9546536 11933170 23866340 47732680