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20825952 = 2537171823
BaseRepresentation
bin100111101110…
…0011101100000
31110012001211120
41033130131200
520312412302
62022212240
7342006030
oct117343540
943161746
1020825952
1110834934
126b84080
134412364
142aa18c0
151c659bc
hex13dc760

20825952 has 96 divisors (see below), whose sum is σ = 66189312. Its totient is φ = 5597184.

The previous prime is 20825939. The next prime is 20825963. The reversal of 20825952 is 25952802.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10513 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 220825952 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 20825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656).

20825952 is an abundant number, since it is smaller than the sum of its proper divisors (45363360).

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

20825952 is a wasteful number, since it uses less digits than its factorization.

20825952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 20825952 is about 4563.5459896883. The cubic root of 20825952 is about 275.1281034017.

The spelling of 20825952 in words is "twenty million, eight hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1823 1904 2856 3646 3808 5469 5712 7292 10938 11424 12761 14584 21876 25522 29168 30991 38283 43752 51044 58336 61982 76566 87504 92973 102088 123964 153132 175008 185946 204176 216937 247928 306264 371892 408352 433874 495856 612528 650811 743784 867748 991712 1225056 1301622 1487568 1735496 2603244 2975136 3470992 5206488 6941984 10412976 20825952