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490977102 = 237112175683
BaseRepresentation
bin11101010000111…
…011011101001110
31021012212012222010
4131100323131032
52001142231402
6120415202050
715111144060
oct3520733516
91235765863
10490977102
11232164400
12118516326
137a9461c5
14492c7730
152d184a6c
hex1d43b74e

490977102 has 96 divisors (see below), whose sum is σ = 1306319616. Its totient is φ = 120003840.

The previous prime is 490977089. The next prime is 490977143. The reversal of 490977102 is 201779094.

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 47 ways as a sum of consecutive naturals, for example, 83553 + ... + 89235.

It is an arithmetic number, because the mean of its divisors is an integer number (13607496).

Almost surely, 2490977102 is an apocalyptic number.

490977102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 490977102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653159808).

490977102 is an abundant number, since it is smaller than the sum of its proper divisors (815342514).

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

490977102 is a wasteful number, since it uses less digits than its factorization.

490977102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 490977102 is about 22158.0031139992. The cubic root of 490977102 is about 788.8971964990.

The spelling of 490977102 in words is "four hundred ninety million, nine hundred seventy-seven thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 121 154 187 231 238 242 357 363 374 462 561 714 726 847 1122 1309 1694 2057 2541 2618 3927 4114 5082 5683 6171 7854 11366 12342 14399 17049 28798 34098 39781 43197 62513 79562 86394 96611 119343 125026 187539 193222 238686 289833 375078 437591 579666 676277 687643 875182 1062721 1312773 1352554 1375286 2028831 2062929 2125442 2625546 3188163 4057662 4125858 4813501 6376326 7439047 9627002 11689931 14440503 14878094 22317141 23379862 28881006 35069793 44634282 70139586 81829517 163659034 245488551 490977102