Search a number
-
+
492868152 = 2336712073
BaseRepresentation
bin11101011000001…
…001001000111000
31021100102022000000
4131120021020320
52002133240102
6120523513000
715133211250
oct3530111070
91240368000
10492868152
11233236157
12119088760
137b158b7a
144965a960
152d40a01c
hex1d609238

492868152 has 112 divisors (see below), whose sum is σ = 1583625840. Its totient is φ = 140807808.

The previous prime is 492868139. The next prime is 492868169. The reversal of 492868152 is 251868294.

492868152 is a `hidden beast` number, since 492 + 8 + 6 + 8 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 492868098 and 492868107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 34788 + ... + 46860.

Almost surely, 2492868152 is an apocalyptic number.

492868152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492868152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791812920).

492868152 is an abundant number, since it is smaller than the sum of its proper divisors (1090757688).

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

492868152 is a wasteful number, since it uses less digits than its factorization.

492868152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12104 (or 12085 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 492868152 is about 22200.6340449997. The cubic root of 492868152 is about 789.9087391241.

The spelling of 492868152 in words is "four hundred ninety-two million, eight hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 12073 13608 20412 24146 36219 40824 48292 72438 84511 96584 108657 144876 169022 217314 253533 289752 325971 338044 434628 507066 651942 676088 760599 869256 977913 1014132 1303884 1521198 1955826 2028264 2281797 2607768 2933739 3042396 3911652 4563594 5867478 6084792 6845391 7823304 8801217 9127188 11734956 13690782 17602434 18254376 20536173 23469912 27381564 35204868 41072346 54763128 61608519 70409736 82144692 123217038 164289384 246434076 492868152