Search a number
-
+
493118136 = 233273073187
BaseRepresentation
bin11101011001000…
…110001010111000
31021100212222220200
4131121012022320
52002214240021
6120533122200
715135302130
oct3531061270
91240788820
10493118136
11233396a55
12119189360
137b2158a4
14496c3ac0
152d459126
hex1d6462b8

493118136 has 96 divisors (see below), whose sum is σ = 1531770240. Its totient is φ = 140387904.

The previous prime is 493118113. The next prime is 493118141. The reversal of 493118136 is 631811394.

It is a super-2 number, since 2×4931181362 = 486330992104228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 493118136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153135 + ... + 156321.

It is an arithmetic number, because the mean of its divisors is an integer number (15955940).

Almost surely, 2493118136 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 493118136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765885120).

493118136 is an abundant number, since it is smaller than the sum of its proper divisors (1038652104).

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

493118136 is a wasteful number, since it uses less digits than its factorization.

493118136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3506 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 493118136 is about 22206.2634407502. The cubic root of 493118136 is about 790.0422644696.

The spelling of 493118136 in words is "four hundred ninety-three million, one hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 307 504 614 921 1228 1842 2149 2456 2763 3187 3684 4298 5526 6374 6447 7368 8596 9561 11052 12748 12894 17192 19122 19341 22104 22309 25496 25788 28683 38244 38682 44618 51576 57366 66927 76488 77364 89236 114732 133854 154728 178472 200781 229464 267708 401562 535416 803124 978409 1606248 1956818 2935227 3913636 5870454 6848863 7827272 8805681 11740908 13697726 17611362 20546589 23481816 27395452 35222724 41093178 54790904 61639767 70445448 82186356 123279534 164372712 246559068 493118136