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20295456 = 2531631297
BaseRepresentation
bin100110101101…
…0111100100000
31102012010010120
41031122330200
520143423311
62003000240
7334336266
oct115327440
942163116
1020295456
1110502305
126969080
134287a5c
1429a4436
151bad706
hex135af20

20295456 has 48 divisors (see below), whose sum is σ = 53643744. Its totient is φ = 6718464.

The previous prime is 20295427. The next prime is 20295479. The reversal of 20295456 is 65459202.

It is a tau number, because it is divible by the number of its divisors (48).

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, 15000 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (1117578).

Almost surely, 220295456 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 20295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26821872).

20295456 is an abundant number, since it is smaller than the sum of its proper divisors (33348288).

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

20295456 is a wasteful number, since it uses less digits than its factorization.

20295456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 20295456 is about 4505.0478354841. The cubic root of 20295456 is about 272.7718847425.

The spelling of 20295456 in words is "twenty million, two hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1297 1304 1956 2594 2608 3891 3912 5188 5216 7782 7824 10376 15564 15648 20752 31128 41504 62256 124512 211411 422822 634233 845644 1268466 1691288 2536932 3382576 5073864 6765152 10147728 20295456