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83196828 = 223311135387
BaseRepresentation
bin1001111010101…
…11101110011100
312210112211121000
410331113232130
5132244244303
612131110300
72030106231
oct475275634
9183484530
1083196828
1142a65010
1223a42390
131430c4c0
14b099788
157485da3
hex4f57b9c

83196828 has 96 divisors (see below), whose sum is σ = 253451520. Its totient is φ = 23267520.

The previous prime is 83196823. The next prime is 83196829. The reversal of 83196828 is 82869138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83196821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12751 + ... + 18137.

It is an arithmetic number, because the mean of its divisors is an integer number (2640120).

Almost surely, 283196828 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 83196828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126725760).

83196828 is an abundant number, since it is smaller than the sum of its proper divisors (170254692).

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

83196828 is a wasteful number, since it uses less digits than its factorization.

83196828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5416 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 83196828 is about 9121.2295223835. The cubic root of 83196828 is about 436.5516052401.

The spelling of 83196828 in words is "eighty-three million, one hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 5387 7722 10774 15444 16161 21548 32322 48483 59257 64644 70031 96966 118514 140062 145449 177771 193932 210093 237028 280124 290898 355542 420186 533313 581796 630279 711084 770341 840372 1066626 1260558 1540682 1599939 1890837 2133252 2311023 2521116 3081364 3199878 3781674 4622046 6399756 6933069 7563348 9244092 13866138 20799207 27732276 41598414 83196828