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2416490496 = 2113472081
BaseRepresentation
bin1001000000001000…
…1011100000000000
320020102001102210000
42100002023200000
514422110143441
61035441440000
7113611554540
oct22002134000
96212042700
102416490496
111030056092
12575340000
132c6840844
1418cd13320
15e22322b6
hex9008b800

2416490496 has 240 divisors, whose sum is σ = 8252964720. Its totient is φ = 690094080.

The previous prime is 2416490443. The next prime is 2416490507. The reversal of 2416490496 is 6940946142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160176 + ... + 1162256.

It is an arithmetic number, because the mean of its divisors is an integer number (34387353).

Almost surely, 22416490496 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 2416490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126482360).

2416490496 is an abundant number, since it is smaller than the sum of its proper divisors (5836474224).

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

2416490496 is an equidigital number, since it uses as much as digits as its factorization.

2416490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2416490496 is about 49157.8121563603. The cubic root of 2416490496 is about 1341.9253706307.

The spelling of 2416490496 in words is "two billion, four hundred sixteen million, four hundred ninety thousand, four hundred ninety-six".