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20849856 = 263312113
BaseRepresentation
bin100111110001…
…0010011000000
31110020021121220
41033202103000
520314143411
62022515040
7342135516
oct117422300
943207556
1020849856
1110850895
126b95a80
1344201c1
142aaa4b6
151c6cb06
hex13e24c0

20849856 has 84 divisors (see below), whose sum is σ = 57506616. Its totient is φ = 6666240.

The previous prime is 20849839. The next prime is 20849903. The reversal of 20849856 is 65894802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184456 + ... + 184568.

Almost surely, 220849856 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 20849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753308).

20849856 is an abundant number, since it is smaller than the sum of its proper divisors (36656760).

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

20849856 is a wasteful number, since it uses less digits than its factorization.

20849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 20849856 is about 4566.1642546014. The cubic root of 20849856 is about 275.2333270438.

The spelling of 20849856 in words is "twenty million, eight hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 186 192 226 248 339 372 452 496 678 744 904 961 992 1356 1488 1808 1922 1984 2712 2883 2976 3503 3616 3844 5424 5766 5952 7006 7232 7688 10509 10848 11532 14012 15376 21018 21696 23064 28024 30752 42036 46128 56048 61504 84072 92256 108593 112096 168144 184512 217186 224192 325779 336288 434372 651558 672576 868744 1303116 1737488 2606232 3474976 5212464 6949952 10424928 20849856