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83001492 = 223272211223
BaseRepresentation
bin1001111001010…
…00000010010100
312210011220122100
410330220002110
5132222021432
612123002100
72025333600
oct474500224
9183156570
1083001492
1142941282
1223969330
1314271612
14b048500
15744807c
hex4f28094

83001492 has 108 divisors (see below), whose sum is σ = 246320256. Its totient is φ = 23496480.

The previous prime is 83001473. The next prime is 83001517. The reversal of 83001492 is 29410038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372093 + ... + 372315.

Almost surely, 283001492 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 83001492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123160128).

83001492 is an abundant number, since it is smaller than the sum of its proper divisors (163318764).

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

83001492 is a wasteful number, since it uses less digits than its factorization.

83001492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83001492 is about 9110.5154629143. The cubic root of 83001492 is about 436.2096808686.

The spelling of 83001492 in words is "eighty-three million, one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 211 223 252 294 422 441 446 588 633 669 844 882 892 1266 1338 1477 1561 1764 1899 2007 2532 2676 2954 3122 3798 4014 4431 4683 5908 6244 7596 8028 8862 9366 10339 10927 13293 14049 17724 18732 20678 21854 26586 28098 31017 32781 41356 43708 47053 53172 56196 62034 65562 93051 94106 98343 124068 131124 141159 186102 188212 196686 282318 329371 372204 393372 423477 564636 658742 846954 988113 1317484 1693908 1976226 2305597 2964339 3952452 4611194 5928678 6916791 9222388 11857356 13833582 20750373 27667164 41500746 83001492