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4613765490 = 2325178213673
BaseRepresentation
bin1000100110000000…
…00111100101110010
3102220112121120102100
410103000013211302
533422110443430
62041453001230
7222222234225
oct42300074562
912815546370
104613765490
111a58394334
12a89183216
13586b29a69
1431aa815bc
151c00b1960
hex113007972

4613765490 has 96 divisors (see below), whose sum is σ = 12720357936. Its totient is φ = 1156239360.

The previous prime is 4613765467. The next prime is 4613765501. The reversal of 4613765490 is 945673164.

It can be written as a sum of positive squares in 8 ways, for example, as 985269321 + 3628496169 = 31389^2 + 60237^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254294 + ... + 1257966.

Almost surely, 24613765490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613765490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360178968).

4613765490 is an abundant number, since it is smaller than the sum of its proper divisors (8106592446).

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

4613765490 is a wasteful number, since it uses less digits than its factorization.

4613765490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4613765490 is about 67924.7045632147. The cubic root of 4613765490 is about 1664.7607913254.

The spelling of 4613765490 in words is "four billion, six hundred thirteen million, seven hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 821 1530 1642 2463 3673 4105 4926 7346 7389 8210 11019 12315 13957 14778 18365 22038 24630 27914 33057 36730 36945 41871 55095 62441 66114 69785 73890 83742 110190 124882 125613 139570 165285 187323 209355 251226 312205 330570 374646 418710 561969 624410 628065 936615 1123938 1256130 1873230 2809845 3015533 5619690 6031066 9046599 15077665 18093198 27139797 30155330 45232995 51264061 54279594 90465990 102528122 135698985 153792183 256320305 271397970 307584366 461376549 512640610 768960915 922753098 1537921830 2306882745 4613765490