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496710368 = 257111991013
BaseRepresentation
bin11101100110110…
…011001011100000
31021121122111112022
4131212303023200
52004124212433
6121142121012
715210653120
oct3546631340
91247574468
10496710368
1123541a940
1211a420168
137bba297b
1449d7ac80
152d918698
hex1d9b32e0

496710368 has 96 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 192360960.

The previous prime is 496710349. The next prime is 496710377. The reversal of 496710368 is 863017694.

It is a Cunningham number, because it is equal to 222872-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 489830 + ... + 490842.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2496710368 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 496710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

496710368 is an abundant number, since it is smaller than the sum of its proper divisors (729824032).

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

496710368 is a wasteful number, since it uses less digits than its factorization.

496710368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 496710368 is about 22286.9999775654. Note that the first 4 decimals coincide. The cubic root of 496710368 is about 791.9560394605.

The spelling of 496710368 in words is "four hundred ninety-six million, seven hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 199 224 308 352 398 616 796 1013 1232 1393 1592 2026 2189 2464 2786 3184 4052 4378 5572 6368 7091 8104 8756 11143 11144 14182 15323 16208 17512 22286 22288 28364 30646 32416 35024 44572 44576 56728 61292 70048 78001 89144 113456 122584 156002 178288 201587 226912 245168 312004 356576 403174 490336 624008 806348 1248016 1411109 1612696 2217457 2496032 2822218 3225392 4434914 5644436 6450784 8869828 11288872 15522199 17739656 22577744 31044398 35479312 45155488 62088796 70958624 124177592 248355184 496710368