Search a number
-
+
47099328 = 2631912911
BaseRepresentation
bin1011001110101…
…0110111000000
310021121220010120
42303222313000
544024134303
64401300240
71111223553
oct263526700
9107556116
1047099328
112464a471
1213934680
1399b1033
14638069a
154205553
hex2ceadc0

47099328 has 56 divisors (see below), whose sum is σ = 131185920. Its totient is φ = 14872320.

The previous prime is 47099321. The next prime is 47099357. The reversal of 47099328 is 82399074.

47099328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47099328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47099321) 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 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 10103.

Almost surely, 247099328 is an apocalyptic number.

47099328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47099328 is an abundant number, since it is smaller than the sum of its proper divisors (84086592).

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

47099328 is a wasteful number, since it uses less digits than its factorization.

47099328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12945 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 47099328 is about 6862.8950159535. The cubic root of 47099328 is about 361.1366542948.

The spelling of 47099328 in words is "forty-seven million, ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 12911 25822 38733 51644 77466 103288 154932 206576 245309 309864 413152 490618 619728 735927 826304 981236 1239456 1471854 1962472 2478912 2943708 3924944 5887416 7849888 11774832 15699776 23549664 47099328