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47323640 = 23571313001
BaseRepresentation
bin1011010010000…
…1100111111000
310022001021211102
42310201213320
544103324030
64410150532
71113146540
oct264414770
9108037742
1047323640
1124792a51
1213a22448
139a5c170
1463dc320
15424bc45
hex2d219f8

47323640 has 64 divisors (see below), whose sum is σ = 131060160. Its totient is φ = 14976000.

The previous prime is 47323603. The next prime is 47323643. The reversal of 47323640 is 4632374.

It is a happy number.

47323640 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-3 number, since 3×473236403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47323643) 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 15 ways as a sum of consecutive naturals, for example, 2861 + ... + 10140.

It is an arithmetic number, because the mean of its divisors is an integer number (2047815).

Almost surely, 247323640 is an apocalyptic number.

47323640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47323640 is an abundant number, since it is smaller than the sum of its proper divisors (83736520).

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

47323640 is a wasteful number, since it uses less digits than its factorization.

47323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 47323640 is about 6879.2179788113. The cubic root of 47323640 is about 361.7090547084.

The spelling of 47323640 in words is "forty-seven million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 13001 26002 52004 65005 91007 104008 130010 169013 182014 260020 338026 364028 455035 520040 676052 728056 845065 910070 1183091 1352104 1690130 1820140 2366182 3380260 3640280 4732364 5915455 6760520 9464728 11830910 23661820 47323640