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869161968 = 24333754377
BaseRepresentation
bin110011110011100…
…101101111110000
32020120111000002000
4303303211233300
53240001140333
6222125054000
730352516623
oct6363455760
92216430060
10869161968
1140668a284
122030b7300
1310b0ba12c
148360ddba
1551489713
hex33ce5bf0

869161968 has 80 divisors (see below), whose sum is σ = 2562291360. Its totient is φ = 281885184.

The previous prime is 869161949. The next prime is 869161991.

869161968 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11205 + ... + 43172.

It is an arithmetic number, because the mean of its divisors is an integer number (32028642).

Almost surely, 2869161968 is an apocalyptic number.

It is an amenable number.

869161968 is an abundant number, since it is smaller than the sum of its proper divisors (1693129392).

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

869161968 is a wasteful number, since it uses less digits than its factorization.

869161968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54431 (or 54419 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 869161968 is about 29481.5530120107. The cubic root of 869161968 is about 954.3336517378. Note that the first 3 decimals are identical.

The spelling of 869161968 in words is "eight hundred sixty-nine million, one hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 54377 108754 163131 217508 326262 435016 489393 652524 870032 978786 1305048 1468179 1957572 2011949 2610096 2936358 3915144 4023898 5872716 6035847 7830288 8047796 11745432 12071694 16095592 18107541 23490864 24143388 32191184 36215082 48286776 54322623 72430164 96573552 108645246 144860328 217290492 289720656 434580984 869161968