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196290528 = 2537436793
BaseRepresentation
bin10111011001100…
…10011111100000
3111200100120222120
423230302133200
5400222244103
631251104240
74602304410
oct1354623740
9450316876
10196290528
11a0889a85
12558a2080
1331888a55
141c0d8640
1512375253
hexbb327e0

196290528 has 96 divisors (see below), whose sum is σ = 602654976. Its totient is φ = 54770688.

The previous prime is 196290527. The next prime is 196290541. The reversal of 196290528 is 825092691.

196290528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 196290528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196290527) 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, 25500 + ... + 32292.

It is an arithmetic number, because the mean of its divisors is an integer number (6277656).

Almost surely, 2196290528 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 196290528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301327488).

196290528 is an abundant number, since it is smaller than the sum of its proper divisors (406364448).

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

196290528 is a wasteful number, since it uses less digits than its factorization.

196290528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6848 counting only the distinct ones).

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

The square root of 196290528 is about 14010.3721577980. The cubic root of 196290528 is about 581.1654410001.

The spelling of 196290528 in words is "one hundred ninety-six million, two hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 6793 7224 9632 13586 14448 20379 27172 28896 40758 47551 54344 81516 95102 108688 142653 163032 190204 217376 285306 292099 326064 380408 570612 584198 652128 760816 876297 1141224 1168396 1521632 1752594 2044693 2282448 2336792 3505188 4089386 4564896 4673584 6134079 7010376 8178772 9347168 12268158 14020752 16357544 24536316 28041504 32715088 49072632 65430176 98145264 196290528