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505728678 = 237136131511
BaseRepresentation
bin11110001001001…
…100111010100110
31022020121200022210
4132021030322212
52013431304203
6122103304250
715350423430
oct3611147246
91266550283
10505728678
1123a51a494
1212144b086
1380a0c750
144b247650
152e5ea803
hex1e24cea6

505728678 has 64 divisors (see below), whose sum is σ = 1247726592. Its totient is φ = 133073280.

The previous prime is 505728667. The next prime is 505728731. The reversal of 505728678 is 876827505.

It is a super-2 number, since 2×5057286782 = 511522991503255368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333943 + ... + 335453.

It is an arithmetic number, because the mean of its divisors is an integer number (19495728).

Almost surely, 2505728678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505728678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623863296).

505728678 is an abundant number, since it is smaller than the sum of its proper divisors (741997914).

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

505728678 is a wasteful number, since it uses less digits than its factorization.

505728678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149.

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 505728678 is about 22488.4120826705. The cubic root of 505728678 is about 796.7202589563.

The spelling of 505728678 in words is "five hundred five million, seven hundred twenty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 613 1226 1511 1839 3022 3678 4291 4533 7969 8582 9066 10577 12873 15938 19643 21154 23907 25746 31731 39286 47814 55783 58929 63462 111566 117858 137501 167349 275002 334698 412503 825006 926243 1852486 2778729 5557458 6483701 12041159 12967402 19451103 24082318 36123477 38902206 72246954 84288113 168576226 252864339 505728678