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47668992 = 28378867
BaseRepresentation
bin1011010111010…
…1111100000000
310022200211120020
42311311330000
544200401432
64421413440
71116115440
oct265657400
9108624506
1047668992
11249a9468
1213b6a280
139b50407
14648c120
1542b922c
hex2d75f00

47668992 has 72 divisors (see below), whose sum is σ = 145009536. Its totient is φ = 13618176.

The previous prime is 47668963. The next prime is 47669029. The reversal of 47668992 is 29986674.

It is a happy number.

47668992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 943 + ... + 9809.

Almost surely, 247668992 is an apocalyptic number.

47668992 is a gapful number since it is divisible by the number (42) 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 47668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72504768).

47668992 is an abundant number, since it is smaller than the sum of its proper divisors (97340544).

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

47668992 is an equidigital number, since it uses as much as digits as its factorization.

47668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8879 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 47668992 is about 6904.2734592425. The cubic root of 47668992 is about 362.5867999832.

The spelling of 47668992 in words is "forty-seven million, six hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 8867 17734 26601 35468 53202 62069 70936 106404 124138 141872 186207 212808 248276 283744 372414 425616 496552 567488 744828 851232 993104 1134976 1489656 1702464 1986208 2269952 2979312 3404928 3972416 5958624 6809856 7944832 11917248 15889664 23834496 47668992