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100949082 = 23133183503
BaseRepresentation
bin1100000010001…
…01110001011010
321000221202002220
412001011301122
5201320332312
614003404510
72334024123
oct601056132
9230852086
10100949082
1151a8a5a3
1229983736
1317bb67b0
14d59b04a
158ce0c8c
hex6045c5a

100949082 has 64 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 29638080.

The previous prime is 100949063. The next prime is 100949117. The reversal of 100949082 is 280949001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200443 + ... + 200945.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 2100949082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100949082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

100949082 is an abundant number, since it is smaller than the sum of its proper divisors (126649254).

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

100949082 is a wasteful number, since it uses less digits than its factorization.

100949082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 100949082 is about 10047.3420365786. The cubic root of 100949082 is about 465.6226783483.

The spelling of 100949082 in words is "one hundred million, nine hundred forty-nine thousand, eighty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 83 93 166 186 249 403 498 503 806 1006 1079 1209 1509 2158 2418 2573 3018 3237 5146 6474 6539 7719 13078 15438 15593 19617 31186 33449 39234 41749 46779 66898 83498 93558 100347 125247 200694 202709 250494 405418 542737 608127 1085474 1216254 1294219 1628211 2588438 3256422 3882657 7765314 16824847 33649694 50474541 100949082