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83037996 = 223217241563
BaseRepresentation
bin1001111001100…
…00111100101100
312210020202201100
410330300330230
5132224203441
612123443100
72025545166
oct474607454
9183222640
1083037996
1142966748
1223986490
1314285112
14b057936
157453cb6
hex4f30f2c

83037996 has 72 divisors (see below), whose sum is σ = 223567344. Its totient is φ = 25896960.

The previous prime is 83037973. The next prime is 83038001. The reversal of 83037996 is 69973038.

It is a happy 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, 147211 + ... + 147773.

It is an arithmetic number, because the mean of its divisors is an integer number (3105102).

Almost surely, 283037996 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 83037996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111783672).

83037996 is an abundant number, since it is smaller than the sum of its proper divisors (140529348).

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

83037996 is a wasteful number, since it uses less digits than its factorization.

83037996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 83037996 is about 9112.5186419562. The cubic root of 83037996 is about 436.2736197368.

The spelling of 83037996 in words is "eighty-three million, thirty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 241 306 482 563 612 723 964 1126 1446 1689 2169 2252 2892 3378 4097 4338 5067 6756 8194 8676 9571 10134 12291 16388 19142 20268 24582 28713 36873 38284 49164 57426 73746 86139 114852 135683 147492 172278 271366 344556 407049 542732 814098 1221147 1628196 2306611 2442294 4613222 4884588 6919833 9226444 13839666 20759499 27679332 41518998 83037996