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47311380 = 22325673923
BaseRepresentation
bin1011010001111…
…0101000010100
310022000200000100
42310132220110
544102431010
64410014100
71113066024
oct264365024
9108020010
1047311380
1124784816
1213a17330
139a566cc
1463d7a84
1542482c0
hex2d1ea14

47311380 has 72 divisors (see below), whose sum is σ = 145690272. Its totient is φ = 12424896.

The previous prime is 47311379. The next prime is 47311393. The reversal of 47311380 is 8311374.

47311380 is a `hidden beast` number, since 473 + 113 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (2023476).

Almost surely, 247311380 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 47311380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72845136).

47311380 is an abundant number, since it is smaller than the sum of its proper divisors (98378892).

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

47311380 is a wasteful number, since it uses less digits than its factorization.

47311380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47311380 is about 6878.3268314322. The cubic root of 47311380 is about 361.6778163674.

The spelling of 47311380 in words is "forty-seven million, three hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3923 4020 6030 7846 11769 12060 15692 19615 23538 35307 39230 47076 58845 70614 78460 117690 141228 176535 235380 262841 353070 525682 706140 788523 1051364 1314205 1577046 2365569 2628410 3154092 3942615 4731138 5256820 7885230 9462276 11827845 15770460 23655690 47311380