Search a number
-
+
47669248 = 21311232
BaseRepresentation
bin1011010111011…
…0000000000000
310022200211220201
42311312000000
544200403443
64421414544
71116116254
oct265660000
9108624821
1047669248
11249a9680
1213b6a454
139b50573
14648c264
1542b934d
hex2d76000

47669248 has 84 divisors (see below), whose sum is σ = 108717588. Its totient is φ = 20725760.

The previous prime is 47669231. The next prime is 47669257. The reversal of 47669248 is 84296674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (580608) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 47669198 and 47669207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2072565 + ... + 2072587.

It is an arithmetic number, because the mean of its divisors is an integer number (1294257).

Almost surely, 247669248 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 47669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54358794).

47669248 is an abundant number, since it is smaller than the sum of its proper divisors (61048340).

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

47669248 is an equidigital number, since it uses as much as digits as its factorization.

47669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 47669248 is about 6904.2919984601. The cubic root of 47669248 is about 362.5874490568.

The spelling of 47669248 in words is "forty-seven million, six hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 529 704 736 1012 1024 1058 1408 1472 2024 2048 2116 2816 2944 4048 4096 4232 5632 5819 5888 8096 8192 8464 11264 11638 11776 16192 16928 22528 23276 23552 32384 33856 45056 46552 47104 64768 67712 90112 93104 94208 129536 135424 186208 188416 259072 270848 372416 518144 541696 744832 1036288 1083392 1489664 2072576 2166784 2979328 4333568 5958656 11917312 23834624 47669248