Search a number
-
+
493054256 = 241931113463
BaseRepresentation
bin11101011000110…
…110100100110000
31021100202202021202
4131120312210300
52002210214011
6120531510332
715134614652
oct3530664460
91240682252
10493054256
11233352a62
121191583a8
137b1c27a6
14496a86d2
152d44523b
hex1d636930

493054256 has 80 divisors (see below), whose sum is σ = 1049456640. Its totient is φ = 223534080.

The previous prime is 493054241. The next prime is 493054301. The reversal of 493054256 is 652450394.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1064681 + ... + 1065143.

It is an arithmetic number, because the mean of its divisors is an integer number (13118208).

Almost surely, 2493054256 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 493054256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524728320).

493054256 is an abundant number, since it is smaller than the sum of its proper divisors (556402384).

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

493054256 is a wasteful number, since it uses less digits than its factorization.

493054256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 493054256 is about 22204.8250612339. The cubic root of 493054256 is about 790.0081481828.

The spelling of 493054256 in words is "four hundred ninety-three million, fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 113 124 152 226 248 304 452 463 496 589 904 926 1178 1808 1852 2147 2356 3503 3704 4294 4712 7006 7408 8588 8797 9424 14012 14353 17176 17594 28024 28706 34352 35188 52319 56048 57412 66557 70376 104638 114824 133114 140752 209276 229648 266228 272707 418552 532456 545414 837104 994061 1064912 1090828 1621889 1988122 2181656 3243778 3976244 4363312 6487556 7952488 12975112 15904976 25950224 30815891 61631782 123263564 246527128 493054256