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82298496 = 2737171801
BaseRepresentation
bin1001110011111…
…00011010000000
312201212012022110
410321330122000
5132032022441
612055535320
72016345210
oct471743200
9181765273
1082298496
1142501095
122368a540
1314086647
14ad04240
157359b16
hex4e7c680

82298496 has 128 divisors (see below), whose sum is σ = 264677760. Its totient is φ = 22118400.

The previous prime is 82298483. The next prime is 82298501. The reversal of 82298496 is 69489228.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44796 + ... + 46596.

It is an arithmetic number, because the mean of its divisors is an integer number (2067795).

Almost surely, 282298496 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 82298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132338880).

82298496 is an abundant number, since it is smaller than the sum of its proper divisors (182379264).

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

82298496 is a wasteful number, since it uses less digits than its factorization.

82298496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1830 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 82298496 is about 9071.8518506422. The cubic root of 82298496 is about 434.9746688909.

The spelling of 82298496 in words is "eighty-two million, two hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1801 1904 2176 2688 2856 3264 3602 3808 5403 5712 6528 7204 7616 10806 11424 12607 14408 15232 21612 22848 25214 28816 30617 37821 43224 45696 50428 57632 61234 75642 86448 91851 100856 115264 122468 151284 172896 183702 201712 214319 230528 244936 302568 345792 367404 403424 428638 489872 605136 642957 691584 734808 806848 857276 979744 1210272 1285914 1469616 1613696 1714552 1959488 2420544 2571828 2939232 3429104 3918976 4841088 5143656 5878464 6858208 10287312 11756928 13716416 20574624 27432832 41149248 82298496