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83213676 = 22337138467
BaseRepresentation
bin1001111010110…
…11110101101100
312210120200201000
410331123311230
5132300314201
612131320300
72030206320
oct475336554
9183520630
1083213676
1142a76737
1223a50090
1314317080
14b0a1980
15748ad86
hex4f5bd6c

83213676 has 96 divisors (see below), whose sum is σ = 265556480. Its totient is φ = 21943872.

The previous prime is 83213671. The next prime is 83213677. The reversal of 83213676 is 67631238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83213676.

It is not an unprimeable number, because it can be changed into a prime (83213671) 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, 5595 + ... + 14061.

Almost surely, 283213676 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 83213676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132778240).

83213676 is an abundant number, since it is smaller than the sum of its proper divisors (182342804).

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

83213676 is a wasteful number, since it uses less digits than its factorization.

83213676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8492 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 83213676 is about 9122.1530353311. The cubic root of 83213676 is about 436.5810716080.

The spelling of 83213676 in words is "eighty-three million, two hundred thirteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 8467 9828 16934 25401 33868 50802 59269 76203 101604 110071 118538 152406 177807 220142 228609 237076 304812 330213 355614 440284 457218 533421 660426 711228 770497 914436 990639 1066842 1320852 1540994 1600263 1981278 2133684 2311491 2971917 3081988 3200526 3962556 4622982 5943834 6401052 6934473 9245964 11887668 13868946 20803419 27737892 41606838 83213676