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47424132 = 22327307613
BaseRepresentation
bin1011010011101…
…0001010000100
310022020101200100
42310322022010
544120033012
64412244100
71114045530
oct264721204
9108211610
1047424132
11248514a8
1213a70630
139a95b22
146426bc0
15426b8dc
hex2d3a284

47424132 has 72 divisors (see below), whose sum is σ = 137673536. Its totient is φ = 13483584.

The previous prime is 47424127. The next prime is 47424161. The reversal of 47424132 is 23142474.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47424096 and 47424105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77058 + ... + 77670.

Almost surely, 247424132 is an apocalyptic number.

47424132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68836768).

47424132 is an abundant number, since it is smaller than the sum of its proper divisors (90249404).

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

47424132 is a wasteful number, since it uses less digits than its factorization.

47424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 47424132 is about 6886.5181332804. The cubic root of 47424132 is about 361.9649040587.

The spelling of 47424132 in words is "forty-seven million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307 613 614 921 1226 1228 1839 1842 2149 2452 2763 3678 3684 4291 4298 5517 5526 6447 7356 8582 8596 11034 11052 12873 12894 17164 19341 22068 25746 25788 38619 38682 51492 77238 77364 154476 188191 376382 564573 752764 1129146 1317337 1693719 2258292 2634674 3387438 3952011 5269348 6774876 7904022 11856033 15808044 23712066 47424132