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196088256 = 26337132943
BaseRepresentation
bin10111011000000…
…01000111000000
3111122222022112000
423230001013000
5400144311011
631242504000
74600502610
oct1354010700
9448868460
10196088256
11a0761011
1255805000
1331817970
141c084a40
1512335356
hexbb011c0

196088256 has 448 divisors, whose sum is σ = 751027200. Its totient is φ = 48771072.

The previous prime is 196088219. The next prime is 196088261. The reversal of 196088256 is 652880691.

196088256 is a `hidden beast` number, since 19 + 608 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1960882562 = 76901208282243072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4560171 + ... + 4560213.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 2196088256 is an apocalyptic number.

196088256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375513600).

196088256 is an abundant number, since it is smaller than the sum of its proper divisors (554938944).

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

196088256 is a wasteful number, since it uses less digits than its factorization.

196088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 196088256 is about 14003.1516452547. The cubic root of 196088256 is about 580.9657473810.

The spelling of 196088256 in words is "one hundred ninety-six million, eighty-eight thousand, two hundred fifty-six".