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4579940496 = 2433112832399
BaseRepresentation
bin1000100001111110…
…00101100010010000
3102211011222002020210
410100333011202100
533334431043441
62034244004120
7221331565125
oct42077054220
912734862223
104579940496
111a4029109a
12a79990640
1357cb15a81
1431639874c
151bc12e616
hex110fc5890

4579940496 has 80 divisors (see below), whose sum is σ = 12227788800. Its totient is φ = 1475633280.

The previous prime is 4579940479. The next prime is 4579940587. The reversal of 4579940496 is 6940499754.

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 15 ways as a sum of consecutive naturals, for example, 1907905 + ... + 1910303.

It is an arithmetic number, because the mean of its divisors is an integer number (152847360).

Almost surely, 24579940496 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 4579940496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113894400).

4579940496 is an abundant number, since it is smaller than the sum of its proper divisors (7647848304).

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

4579940496 is a wasteful number, since it uses less digits than its factorization.

4579940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 4579940496 is about 67675.2576352687. The cubic root of 4579940496 is about 1660.6825102696.

The spelling of 4579940496 in words is "four billion, five hundred seventy-nine million, nine hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1283 1488 2399 2566 3849 4798 5132 7197 7698 9596 10264 14394 15396 19192 20528 28788 30792 38384 39773 57576 61584 74369 79546 115152 119319 148738 159092 223107 238638 297476 318184 446214 477276 594952 636368 892428 954552 1189904 1784856 1909104 3077917 3569712 6155834 9233751 12311668 18467502 24623336 36935004 49246672 73870008 95415427 147740016 190830854 286246281 381661708 572492562 763323416 1144985124 1526646832 2289970248 4579940496