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47050960 = 24511127421
BaseRepresentation
bin1011001101111…
…1000011010000
310021112102210011
42303133003100
544021112320
64400244304
71110632545
oct263370320
9107472704
1047050960
11246170a0
1213910694
139995008
14636abcc
1541e605a
hex2cdf0d0

47050960 has 80 divisors (see below), whose sum is σ = 120563712. Its totient is φ = 16934400.

The previous prime is 47050937. The next prime is 47050961. The reversal of 47050960 is 6905074.

47050960 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47050961) 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, 111550 + ... + 111970.

Almost surely, 247050960 is an apocalyptic number.

47050960 is a gapful number since it is divisible by the number (40) 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 47050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60281856).

47050960 is an abundant number, since it is smaller than the sum of its proper divisors (73512752).

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

47050960 is a wasteful number, since it uses less digits than its factorization.

47050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 47050960 is about 6859.3702334835. The cubic root of 47050960 is about 361.0129905317.

The spelling of 47050960 in words is "forty-seven million, fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 421 440 508 635 842 880 1016 1270 1397 1684 2032 2105 2540 2794 3368 4210 4631 5080 5588 6736 6985 8420 9262 10160 11176 13970 16840 18524 22352 23155 27940 33680 37048 46310 53467 55880 74096 92620 106934 111760 185240 213868 267335 370480 427736 534670 588137 855472 1069340 1176274 2138680 2352548 2940685 4277360 4705096 5881370 9410192 11762740 23525480 47050960