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19957896 = 2332725657
BaseRepresentation
bin100110000100…
…0100010001000
31101112222002100
41030020202020
520102123041
61551433400
7331432200
oct114104210
941488070
1019957896
11102a1732
126825860
13419a20a
142917400
151b436b6
hex1308888

19957896 has 72 divisors (see below), whose sum is σ = 62888670. Its totient is φ = 5701248.

The previous prime is 19957879. The next prime is 19957897. The reversal of 19957896 is 69875991.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 509796 = 4410^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×199578962 = 796635225493632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19957897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 700 + ... + 6356.

Almost surely, 219957896 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 19957896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444335).

19957896 is an abundant number, since it is smaller than the sum of its proper divisors (42930774).

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

19957896 is a wasteful number, since it uses less digits than its factorization.

19957896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5669 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19957896 is about 4467.4261045931. The cubic root of 19957896 is about 271.2511481047.

The spelling of 19957896 in words is "nineteen million, nine hundred fifty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5657 11314 16971 22628 33942 39599 45256 50913 67884 79198 101826 118797 135768 158396 203652 237594 277193 316792 356391 407304 475188 554386 712782 831579 950376 1108772 1425564 1663158 2217544 2494737 2851128 3326316 4989474 6652632 9978948 19957896