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83049304 = 23132195361
BaseRepresentation
bin1001111001100…
…11101101011000
312210021100020011
410330303231120
5132230034204
612124011304
72025623152
oct474635530
9183240204
1083049304
1142974198
1223990b34
131428a300
14b05bad2
157457304
hex4f33b58

83049304 has 96 divisors (see below), whose sum is σ = 183805200. Its totient is φ = 35043840.

The previous prime is 83049289. The next prime is 83049319. The reversal of 83049304 is 40394038.

It is an interprime number because it is at equal distance from previous prime (83049289) and next prime (83049319).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361434 + ... + 1361494.

Almost surely, 283049304 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 83049304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91902600).

83049304 is an abundant number, since it is smaller than the sum of its proper divisors (100755896).

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

83049304 is a wasteful number, since it uses less digits than its factorization.

83049304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 83049304 is about 9113.1390859572. The cubic root of 83049304 is about 436.2934225516.

The spelling of 83049304 in words is "eighty-three million, forty-nine thousand, three hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 53 61 76 104 106 122 152 169 212 244 247 338 424 488 494 676 689 793 988 1007 1159 1352 1378 1586 1976 2014 2318 2756 3172 3211 3233 4028 4636 5512 6344 6422 6466 8056 8957 9272 10309 12844 12932 13091 15067 17914 20618 25688 25864 26182 30134 35828 41236 42029 52364 60268 61427 71656 82472 84058 104728 120536 122854 168116 170183 195871 245708 336232 340366 391742 491416 546377 680732 783484 798551 1092754 1361464 1566968 1597102 2185508 3194204 4371016 6388408 10381163 20762326 41524652 83049304