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47372072 = 23114311249
BaseRepresentation
bin1011010010110…
…1011100101000
310022010202021012
42310231130220
544111401242
64411203052
71113440666
oct264553450
9108122235
1047372072
1124816380
1213a46488
139a78217
146411c36
15425b282
hex2d2d728

47372072 has 32 divisors (see below), whose sum is σ = 97200000. Its totient is φ = 21465600.

The previous prime is 47372057. The next prime is 47372077. The reversal of 47372072 is 27027374.

47372072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×473720722 = 4488226411146368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) 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 (47372077) 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, 37304 + ... + 38552.

It is an arithmetic number, because the mean of its divisors is an integer number (3037500).

Almost surely, 247372072 is an apocalyptic number.

It is an amenable number.

47372072 is an abundant number, since it is smaller than the sum of its proper divisors (49827928).

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

47372072 is a wasteful number, since it uses less digits than its factorization.

47372072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 47372072 is about 6882.7372461834. The cubic root of 47372072 is about 361.8324061676.

The spelling of 47372072 in words is "forty-seven million, three hundred seventy-two thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 431 862 1249 1724 2498 3448 4741 4996 9482 9992 13739 18964 27478 37928 54956 109912 538319 1076638 2153276 4306552 5921509 11843018 23686036 47372072