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83353830 = 23572913687
BaseRepresentation
bin1001111011111…
…10000011100110
312210211210221220
410331332003212
5132314310310
612134321210
72031332040
oct475760346
9183753856
1083353830
1143061a6a
1223ab9206
1314365ac1
14b0daa90
1574b7670
hex4f7e0e6

83353830 has 64 divisors (see below), whose sum is σ = 236528640. Its totient is φ = 18393984.

The previous prime is 83353813. The next prime is 83353841. The reversal of 83353830 is 3835338.

It is a junction number, because it is equal to n+sod(n) for n = 83353791 and 83353800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754 + ... + 12933.

It is an arithmetic number, because the mean of its divisors is an integer number (3695760).

Almost surely, 283353830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83353830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118264320).

83353830 is an abundant number, since it is smaller than the sum of its proper divisors (153174810).

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

83353830 is a wasteful number, since it uses less digits than its factorization.

83353830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 83353830 is about 9129.8318713983. The cubic root of 83353830 is about 436.8260404077.

The spelling of 83353830 in words is "eighty-three million, three hundred fifty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 13687 27374 41061 68435 82122 95809 136870 191618 205305 287427 396923 410610 479045 574854 793846 958090 1190769 1437135 1984615 2381538 2778461 2874270 3969230 5556922 5953845 8335383 11907690 13892305 16670766 27784610 41676915 83353830