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47011272 = 23371125439
BaseRepresentation
bin1011001101010…
…1010111001000
310021110102100020
42303111113020
544013330042
64355340440
71110406050
oct263252710
9107412306
1047011272
112459a2a0
12138b1720
13997cc29
14635a560
1541d93ec
hex2cd55c8

47011272 has 64 divisors (see below), whose sum is σ = 146534400. Its totient is φ = 12210240.

The previous prime is 47011271. The next prime is 47011309. The reversal of 47011272 is 27211074.

47011272 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 (24).

It is not an unprimeable number, because it can be changed into a prime (47011271) 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, 10872 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (2289600).

Almost surely, 247011272 is an apocalyptic number.

47011272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47011272 is an abundant number, since it is smaller than the sum of its proper divisors (99523128).

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

47011272 is a wasteful number, since it uses less digits than its factorization.

47011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25466 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 47011272 is about 6856.4766462083. The cubic root of 47011272 is about 360.9114558408.

The spelling of 47011272 in words is "forty-seven million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 25439 50878 76317 101756 152634 178073 203512 279829 305268 356146 534219 559658 610536 712292 839487 1068438 1119316 1424584 1678974 1958803 2136876 2238632 3357948 3917606 4273752 5876409 6715896 7835212 11752818 15670424 23505636 47011272