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193819056 = 2435097933
BaseRepresentation
bin10111000110101…
…11000110110000
3111111201000202120
423203113012300
5344104202211
631122114240
74542302064
oct1343270660
9444630676
10193819056
119a451142
1254aab980
1331201b42
141ba53aa4
1512037d06
hexb8d71b0

193819056 has 40 divisors (see below), whose sum is σ = 501746160. Its totient is φ = 64471296.

The previous prime is 193819049. The next prime is 193819063. The reversal of 193819056 is 650918391.

193819056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (193819049) and next prime (193819063).

It is a super-2 number, since 2×1938190562 = 75131652937462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193818999 and 193819017.

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, 20466 + ... + 28398.

It is an arithmetic number, because the mean of its divisors is an integer number (12543654).

Almost surely, 2193819056 is an apocalyptic number.

193819056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

193819056 is an abundant number, since it is smaller than the sum of its proper divisors (307927104).

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

193819056 is a wasteful number, since it uses less digits than its factorization.

193819056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 193819056 is about 13921.8912508323. The cubic root of 193819056 is about 578.7160022448.

The spelling of 193819056 in words is "one hundred ninety-three million, eight hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 509 1018 1527 2036 3054 4072 6108 7933 8144 12216 15866 23799 24432 31732 47598 63464 95196 126928 190392 380784 4037897 8075794 12113691 16151588 24227382 32303176 48454764 64606352 96909528 193819056