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47130048 = 2632711689
BaseRepresentation
bin1011001111001…
…0010111000000
310021200110021100
42303302113000
544031130143
64402054400
71111412250
oct263622700
9107613240
1047130048
1124670559
121394a400
1399c2004
14638b960
15420e6d3
hex2cf25c0

47130048 has 84 divisors (see below), whose sum is σ = 154401520. Its totient is φ = 13464576.

The previous prime is 47130043. The next prime is 47130053. The reversal of 47130048 is 84003174.

It is an interprime number because it is at equal distance from previous prime (47130043) and next prime (47130053).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47130043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813 + ... + 9876.

Almost surely, 247130048 is an apocalyptic number.

47130048 is a gapful number since it is divisible by the number (48) 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 47130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77200760).

47130048 is an abundant number, since it is smaller than the sum of its proper divisors (107271472).

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

47130048 is a wasteful number, since it uses less digits than its factorization.

47130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47130048 is about 6865.1327736614. The cubic root of 47130048 is about 361.2151529866.

The spelling of 47130048 in words is "forty-seven million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 11689 23378 35067 46756 70134 81823 93512 105201 140268 163646 187024 210402 245469 280536 327292 374048 420804 490938 561072 654584 736407 748096 841608 981876 1122144 1309168 1472814 1683216 1963752 2244288 2618336 2945628 3366432 3927504 5236672 5891256 6732864 7855008 11782512 15710016 23565024 47130048