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83836296 = 2334671931
BaseRepresentation
bin1001111111100…
…11110110001000
312211202022210000
410333303312020
5132430230141
612152523000
72035411455
oct477636610
9184668700
1083836296
11433614a5
12240b0460
13144a459b
14b1c482c
1575605b6
hex4ff3d88

83836296 has 80 divisors (see below), whose sum is σ = 238447440. Its totient is φ = 27514080.

The previous prime is 83836243. The next prime is 83836331. The reversal of 83836296 is 69263838.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42451 + ... + 44381.

It is an arithmetic number, because the mean of its divisors is an integer number (2980593).

Almost surely, 283836296 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 83836296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119223720).

83836296 is an abundant number, since it is smaller than the sum of its proper divisors (154611144).

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

83836296 is a wasteful number, since it uses less digits than its factorization.

83836296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2003 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83836296 is about 9156.2162490846. The cubic root of 83836296 is about 437.6672270653.

The spelling of 83836296 in words is "eighty-three million, eight hundred thirty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 1931 2412 3618 3862 4824 5427 5793 7236 7724 10854 11586 14472 15448 17379 21708 23172 34758 43416 46344 52137 69516 104274 129377 139032 156411 208548 258754 312822 388131 417096 517508 625644 776262 1035016 1164393 1251288 1552524 2328786 3105048 3493179 4657572 6986358 9315144 10479537 13972716 20959074 27945432 41918148 83836296