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2420556064 = 25233599161
BaseRepresentation
bin1001000001000110…
…1100000100100000
320020200200222200121
42100101230010200
514424130243224
61040104530024
7113661246523
oct22021540440
96220628617
102420556064
111032382663
12576780914
132c76351c4
1418d690bba
15e2786be4
hex9046c120

2420556064 has 48 divisors (see below), whose sum is σ = 4987059840. Its totient is φ = 1154306560.

The previous prime is 2420556029. The next prime is 2420556097. The reversal of 2420556064 is 4606550242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259644 + ... + 268804.

It is an arithmetic number, because the mean of its divisors is an integer number (103897080).

Almost surely, 22420556064 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 2420556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493529920).

2420556064 is an abundant number, since it is smaller than the sum of its proper divisors (2566503776).

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

2420556064 is a wasteful number, since it uses less digits than its factorization.

2420556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2420556064 is about 49199.1469844752. The cubic root of 2420556064 is about 1342.6775126471.

The spelling of 2420556064 in words is "two billion, four hundred twenty million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 359 368 718 736 1436 2872 5744 8257 9161 11488 16514 18322 33028 36644 66056 73288 132112 146576 210703 264224 293152 421406 842812 1685624 3288799 3371248 6577598 6742496 13155196 26310392 52620784 75642377 105241568 151284754 302569508 605139016 1210278032 2420556064