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492976260 = 223357231601
BaseRepresentation
bin11101011000100…
…011100010000100
31021100121210022000
4131120203202010
52002200220020
6120530105300
715134141400
oct3530434204
91240553260
10492976260
112332aa3a7
1211911b230
137b19613a
1449688100
152d42c090
hex1d623884

492976260 has 288 divisors, whose sum is σ = 1844720640. Its totient is φ = 108864000.

The previous prime is 492976243. The next prime is 492976301. The reversal of 492976260 is 62679294.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819960 + ... + 820560.

It is an arithmetic number, because the mean of its divisors is an integer number (6405280).

Almost surely, 2492976260 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 492976260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922360320).

492976260 is an abundant number, since it is smaller than the sum of its proper divisors (1351744380).

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

492976260 is a wasteful number, since it uses less digits than its factorization.

492976260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 492976260 is about 22203.0687068252. The cubic root of 492976260 is about 789.9664889914.

The spelling of 492976260 in words is "four hundred ninety-two million, nine hundred seventy-six thousand, two hundred sixty".