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47113632 = 2532295641
BaseRepresentation
bin1011001110111…
…0010110100000
310021122121202100
42303232112200
544030114012
64401450400
71111313346
oct263562640
9107577670
1047113632
112465a195
1213940a00
1399b76b7
146385996
1542098dc
hex2cee5a0

47113632 has 72 divisors (see below), whose sum is σ = 138623940. Its totient is φ = 15160320.

The previous prime is 47113631. The next prime is 47113639. The reversal of 47113632 is 23631174.

47113632 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 2 ways, for example, as 41525136 + 5588496 = 6444^2 + 2364^2 .

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 = 47113596 and 47113605.

It is not an unprimeable number, because it can be changed into a prime (47113631) 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, 5532 + ... + 11172.

Almost surely, 247113632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69311970).

47113632 is an abundant number, since it is smaller than the sum of its proper divisors (91510308).

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

47113632 is a wasteful number, since it uses less digits than its factorization.

47113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5675 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 47113632 is about 6863.9370626485. The cubic root of 47113632 is about 361.1732094933.

The spelling of 47113632 in words is "forty-seven million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 5641 8352 11282 16923 22564 33846 45128 50769 67692 90256 101538 135384 163589 180512 203076 270768 327178 406152 490767 541536 654356 812304 981534 1308712 1472301 1624608 1963068 2617424 2944602 3926136 5234848 5889204 7852272 11778408 15704544 23556816 47113632