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20495808 = 263329409
BaseRepresentation
bin100111000101…
…1110111000000
31102120021222000
41032023313000
520221331213
62011144000
7336132354
oct116136700
942507860
1020495808
1110629893
126a45000
134327cc8
142a17464
151becc73
hex138bdc0

20495808 has 112 divisors (see below), whose sum is σ = 62484000. Its totient is φ = 6580224.

The previous prime is 20495803. The next prime is 20495819. The reversal of 20495808 is 80859402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20495801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49908 + ... + 50316.

Almost surely, 220495808 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 20495808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31242000).

20495808 is an abundant number, since it is smaller than the sum of its proper divisors (41988192).

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

20495808 is a wasteful number, since it uses less digits than its factorization.

20495808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20495808 is about 4527.2296164432. The cubic root of 20495808 is about 273.6665273740. Note that the first 3 decimals are identical.

The spelling of 20495808 in words is "twenty million, four hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 409 432 464 522 576 696 783 818 864 928 1044 1227 1392 1566 1636 1728 1856 2088 2454 2784 3132 3272 3681 4176 4908 5568 6264 6544 7362 8352 9816 11043 11861 12528 13088 14724 16704 19632 22086 23722 25056 26176 29448 35583 39264 44172 47444 50112 58896 71166 78528 88344 94888 106749 117792 142332 176688 189776 213498 235584 284664 320247 353376 379552 426996 569328 640494 706752 759104 853992 1138656 1280988 1707984 2277312 2561976 3415968 5123952 6831936 10247904 20495808