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83888196 = 2237389229
BaseRepresentation
bin1010000000000…
…00100001000100
312211211221222020
411000000201010
5132433410241
612154003140
72036016000
oct500004104
9184757866
1083888196
1143397497
12241164b0
13144c20b2
14b1d9700
157570b66
hex5000844

83888196 has 96 divisors (see below), whose sum is σ = 231840000. Its totient is φ = 23595264.

The previous prime is 83888179. The next prime is 83888197. The reversal of 83888196 is 69188838.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83888197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366210 + ... + 366438.

It is an arithmetic number, because the mean of its divisors is an integer number (2415000).

Almost surely, 283888196 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 83888196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920000).

83888196 is an abundant number, since it is smaller than the sum of its proper divisors (147951804).

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

83888196 is a wasteful number, since it uses less digits than its factorization.

83888196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 83888196 is about 9159.0499507318. The cubic root of 83888196 is about 437.7575230526.

The spelling of 83888196 in words is "eighty-three million, eight hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 229 267 294 343 356 458 534 588 623 686 687 916 1029 1068 1246 1372 1374 1603 1869 2058 2492 2748 3206 3738 4116 4361 4809 6412 7476 8722 9618 11221 13083 17444 19236 20381 22442 26166 30527 33663 40762 44884 52332 61054 61143 67326 78547 81524 91581 122108 122286 134652 142667 157094 183162 235641 244572 285334 314188 366324 428001 471282 570668 856002 942564 998669 1712004 1997338 2996007 3994676 5992014 6990683 11984028 13981366 20972049 27962732 41944098 83888196