Search a number
-
+
890873856 = 2113316111
BaseRepresentation
bin110101000110011…
…010100000000000
32022002100002012000
4311012122200000
53311030430411
6224222304000
731035205605
oct6506324000
92262302160
10890873856
11417969794
1220a428000
1311274c7c2
14864626ac
1553327956
hex3519a800

890873856 has 96 divisors (see below), whose sum is σ = 2639145600. Its totient is φ = 296939520.

The previous prime is 890873821. The next prime is 890873887. The reversal of 890873856 is 658378098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47241 + ... + 63351.

It is an arithmetic number, because the mean of its divisors is an integer number (27491100).

Almost surely, 2890873856 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 890873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319572800).

890873856 is an abundant number, since it is smaller than the sum of its proper divisors (1748271744).

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

890873856 is a wasteful number, since it uses less digits than its factorization.

890873856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16142 (or 16116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 890873856 is about 29847.5100469034. The cubic root of 890873856 is about 962.2148859453.

The spelling of 890873856 in words is "eight hundred ninety million, eight hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 16111 18432 27648 32222 48333 55296 64444 96666 128888 144999 193332 257776 289998 386664 434997 515552 579996 773328 869994 1031104 1159992 1546656 1739988 2062208 2319984 3093312 3479976 4124416 4639968 6186624 6959952 8248832 9279936 12373248 13919904 16497664 18559872 24746496 27839808 32995328 37119744 49492992 55679616 74239488 98985984 111359232 148478976 222718464 296957952 445436928 890873856