Search a number
-
+
880631808 = 213375119
BaseRepresentation
bin110100011111010…
…110000000000000
32021101001201201220
4310133112000000
53300420204213
6223214555040
730552150450
oct6437260000
92241051656
10880631808
11412103791
12206b08a80
131105a4a14
1484d57d60
15524a2e23
hex347d6000

880631808 has 112 divisors (see below), whose sum is σ = 2684190720. Its totient is φ = 251559936.

The previous prime is 880631749. The next prime is 880631837. The reversal of 880631808 is 808136088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8806318082 = 1551024762522697728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 880631808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169473 + ... + 174591.

Almost surely, 2880631808 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 880631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342095360).

880631808 is an abundant number, since it is smaller than the sum of its proper divisors (1803558912).

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

880631808 is an equidigital number, since it uses as much as digits as its factorization.

880631808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 880631808 is about 29675.4411593156. The cubic root of 880631808 is about 958.5132542307.

The spelling of 880631808 in words is "eight hundred eighty million, six hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5119 5376 6144 7168 8192 10238 10752 12288 14336 15357 20476 21504 24576 28672 30714 35833 40952 43008 57344 61428 71666 81904 86016 107499 122856 143332 163808 172032 214998 245712 286664 327616 429996 491424 573328 655232 859992 982848 1146656 1310464 1719984 1965696 2293312 2620928 3439968 3931392 4586624 5241856 6879936 7862784 9173248 10483712 13759872 15725568 18346496 20967424 27519744 31451136 36692992 41934848 55039488 62902272 73385984 110078976 125804544 146771968 220157952 293543936 440315904 880631808