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890642368 = 26711180731
BaseRepresentation
bin110101000101100…
…001111111000000
32022001220022122101
4311011201333000
53311001023433
6224213320144
731033222660
oct6505417700
92261808571
10890642368
11417820880
1220a336054
1311269b325
14864021a0
15532ce07d
hex35161fc0

890642368 has 56 divisors (see below), whose sum is σ = 2203484544. Its totient is φ = 347001600.

The previous prime is 890642353. The next prime is 890642381. The reversal of 890642368 is 863246098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 85438 + ... + 95293.

Almost surely, 2890642368 is an apocalyptic number.

890642368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

890642368 is an abundant number, since it is smaller than the sum of its proper divisors (1312842176).

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

890642368 is a wasteful number, since it uses less digits than its factorization.

890642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180761 (or 180751 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 890642368 is about 29843.6319505519. The cubic root of 890642368 is about 962.1315368855.

The spelling of 890642368 in words is "eight hundred ninety million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 180731 361462 722924 1265117 1445848 1988041 2530234 2891696 3976082 5060468 5783392 7952164 10120936 11566784 13916287 15904328 20241872 27832574 31808656 40483744 55665148 63617312 80967488 111330296 127234624 222660592 445321184 890642368