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47899472 = 2417229769
BaseRepresentation
bin1011011010111…
…0001101010000
310100010112201112
42312232031100
544230240342
64430352452
71121065415
oct266561520
9110115645
1047899472
1125046645
121405b728
139c012aa
14650c10c
154312682
hex2dae350

47899472 has 40 divisors (see below), whose sum is σ = 98821800. Its totient is φ = 22413312.

The previous prime is 47899459. The next prime is 47899487. The reversal of 47899472 is 27499874.

47899472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22052416 + 25847056 = 4696^2 + 5084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47899472.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61904 + ... + 62672.

It is an arithmetic number, because the mean of its divisors is an integer number (2470545).

Almost surely, 247899472 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 47899472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49410900).

47899472 is an abundant number, since it is smaller than the sum of its proper divisors (50922328).

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

47899472 is a wasteful number, since it uses less digits than its factorization.

With its successor (47899473) it forms an eRAP, since the sums of their prime factors are consecutive (1023 and 1024).

47899472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 47899472 is about 6920.9444442215. The cubic root of 47899472 is about 363.1702308268.

The spelling of 47899472 in words is "forty-seven million, eight hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 229 272 458 769 916 1538 1832 3076 3664 3893 6152 7786 12304 13073 15572 26146 31144 52292 62288 104584 176101 209168 352202 704404 1408808 2817616 2993717 5987434 11974868 23949736 47899472