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492913080 = 233351141491
BaseRepresentation
bin11101011000010…
…100000110111000
31021100111120122000
4131120110012320
52002141204310
6120524501000
715133456242
oct3530240670
91240446560
10492913080
11233266990
121190aa760
137b17345a
144966d092
152d4184c0
hex1d6141b8

492913080 has 128 divisors (see below), whose sum is σ = 1792454400. Its totient is φ = 119491200.

The previous prime is 492913073. The next prime is 492913093. The reversal of 492913080 is 80319294.

492913080 is a `hidden beast` number, since 492 + 91 + 3 + 0 + 80 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8866 + ... + 32625.

It is an arithmetic number, because the mean of its divisors is an integer number (14003550).

Almost surely, 2492913080 is an apocalyptic number.

492913080 is a gapful number since it is divisible by the number (40) 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 492913080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896227200).

492913080 is an abundant number, since it is smaller than the sum of its proper divisors (1299541320).

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

492913080 is a wasteful number, since it uses less digits than its factorization.

492913080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41522 (or 41512 counting only the distinct ones).

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

The square root of 492913080 is about 22201.6458849338. The cubic root of 492913080 is about 789.9327400944.

The spelling of 492913080 in words is "four hundred ninety-two million, nine hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 41491 82982 124473 165964 207455 248946 331928 373419 414910 456401 497892 622365 746838 829820 912802 995784 1120257 1244730 1369203 1493676 1659640 1825604 1867095 2240514 2282005 2489460 2738406 2987352 3651208 3734190 4107609 4481028 4564010 4978920 5476812 5601285 6846015 7468380 8215218 8962056 9128020 10953624 11202570 12322827 13692030 14936760 16430436 18256040 20538045 22405140 24645654 27384060 32860872 41076090 44810280 49291308 54768120 61614135 82152180 98582616 123228270 164304360 246456540 492913080