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195606816 = 25319710343
BaseRepresentation
bin10111010100010…
…11100100100000
3111122001212002220
423222023210200
5400033404231
631224311040
74563426156
oct1352134440
9448055086
10195606816
11a0462329
1255612480
13316a97a2
141bd9b3d6
151228c896
hexba8b920

195606816 has 48 divisors (see below), whose sum is σ = 516124224. Its totient is φ = 64865024.

The previous prime is 195606799. The next prime is 195606821. The reversal of 195606816 is 618606591.

It is a happy number.

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

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, 13741 + ... + 24083.

It is an arithmetic number, because the mean of its divisors is an integer number (10752588).

Almost surely, 2195606816 is an apocalyptic number.

195606816 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 195606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258062112).

195606816 is an abundant number, since it is smaller than the sum of its proper divisors (320517408).

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

195606816 is a wasteful number, since it uses less digits than its factorization.

195606816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10553 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 195606816 is about 13985.9506648637. The cubic root of 195606816 is about 580.4898912939.

The spelling of 195606816 in words is "one hundred ninety-five million, six hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 10343 18912 20686 31029 41372 62058 82744 124116 165488 248232 330976 496464 992928 2037571 4075142 6112713 8150284 12225426 16300568 24450852 32601136 48901704 65202272 97803408 195606816