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47216088 = 2333792767
BaseRepresentation
bin1011010000011…
…1010111011000
310021211211022000
42310013113120
544041403323
64404001000
71112221143
oct264072730
9107754260
1047216088
112471a167
1213990160
139a2221a
1463b105a
154229e43
hex2d075d8

47216088 has 64 divisors (see below), whose sum is σ = 132864000. Its totient is φ = 15533856.

The previous prime is 47216087. The next prime is 47216093. The reversal of 47216088 is 88061274.

47216088 is a `hidden beast` number, since 47 + 2 + 1 + 608 + 8 = 666.

47216088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47216087) 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, 15681 + ... + 18447.

It is an arithmetic number, because the mean of its divisors is an integer number (2076000).

Almost surely, 247216088 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 47216088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66432000).

47216088 is an abundant number, since it is smaller than the sum of its proper divisors (85647912).

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

47216088 is a wasteful number, since it uses less digits than its factorization.

47216088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 47216088 is about 6871.3963646409. The cubic root of 47216088 is about 361.4348292497.

The spelling of 47216088 in words is "forty-seven million, two hundred sixteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2767 2844 4266 5534 5688 8301 8532 11068 16602 17064 22136 24903 33204 49806 66408 74709 99612 149418 199224 218593 298836 437186 597672 655779 874372 1311558 1748744 1967337 2623116 3934674 5246232 5902011 7869348 11804022 15738696 23608044 47216088