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47369952 = 2532723497
BaseRepresentation
bin1011010010110…
…0111011100000
310022010122100200
42310230323200
544111314302
64411145200
71113431550
oct264547340
9108118320
1047369952
1124814823
1213a45200
139a77276
146411160
15425a81c
hex2d2cee0

47369952 has 72 divisors (see below), whose sum is σ = 153958896. Its totient is φ = 13533696.

The previous prime is 47369951. The next prime is 47369957. The reversal of 47369952 is 25996374.

It is a happy number.

47369952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 47369898 and 47369907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47369951) 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 11 ways as a sum of consecutive naturals, for example, 9733 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (2138318).

Almost surely, 247369952 is an apocalyptic number.

47369952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47369952 is an abundant number, since it is smaller than the sum of its proper divisors (106588944).

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

47369952 is a wasteful number, since it uses less digits than its factorization.

47369952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23509 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 47369952 is about 6882.5832359660. The cubic root of 47369952 is about 361.8270084996.

The spelling of 47369952 in words is "forty-seven million, three hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 23497 46994 70491 93988 140982 164479 187976 211473 281964 328958 375952 422946 493437 563928 657916 751904 845892 986874 1127856 1315832 1480311 1691784 1973748 2255712 2631664 2960622 3383568 3947496 5263328 5921244 6767136 7894992 11842488 15789984 23684976 47369952