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82501496 = 23721119253
BaseRepresentation
bin1001110101011…
…01111101111000
312202020111202222
410322231331320
5132110021441
612104143212
72021152100
oct472557570
9182214688
1082501496
114262a660
1223767b08
1314127b6c
14ad58200
157399d4b
hex4eadf78

82501496 has 144 divisors (see below), whose sum is σ = 211089240. Its totient is φ = 29877120.

The previous prime is 82501427. The next prime is 82501501. The reversal of 82501496 is 69410528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1556606 + ... + 1556658.

Almost surely, 282501496 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 82501496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105544620).

82501496 is an abundant number, since it is smaller than the sum of its proper divisors (128587744).

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

82501496 is a wasteful number, since it uses less digits than its factorization.

82501496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 82501496 is about 9083.0334140088. The cubic root of 82501496 is about 435.3320158671.

The spelling of 82501496 in words is "eighty-two million, five hundred one thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 53 56 76 77 88 98 106 133 152 154 196 209 212 266 308 361 371 392 418 424 532 539 583 616 722 742 836 931 1007 1064 1078 1166 1444 1463 1484 1672 1862 2014 2156 2332 2527 2597 2888 2926 2968 3724 3971 4028 4081 4312 4664 5054 5194 5852 7049 7448 7942 8056 8162 10108 10241 10388 11077 11704 14098 15884 16324 17689 19133 20216 20482 20776 22154 27797 28196 28567 31768 32648 35378 38266 40964 44308 49343 55594 56392 57134 70756 76532 77539 81928 88616 98686 111188 114268 133931 141512 153064 155078 194579 197372 210463 222376 228536 267862 310156 389158 394744 420926 535724 542773 620312 778316 841852 937517 1071448 1085546 1473241 1556632 1683704 1875034 2171092 2946482 3750068 4342184 5892964 7500136 10312687 11785928 20625374 41250748 82501496