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4494702240 = 2532571512953
BaseRepresentation
bin1000010111110011…
…11011011010100000
3102121020120112100100
410023321323122200
533201120432430
62022001022400
7216245224110
oct41371733240
912536515310
104494702240
1119a7162356
12a55324a00
13568270332
14308d2b040
151b48e3960
hex10be7b6a0

4494702240 has 288 divisors, whose sum is σ = 17651402496. Its totient is φ = 1020211200.

The previous prime is 4494702239. The next prime is 4494702283. The reversal of 4494702240 is 422074944.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44947022402 = 40404696452522035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4494702195 and 4494702204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520604 + ... + 1523556.

It is an arithmetic number, because the mean of its divisors is an integer number (61289592).

Almost surely, 24494702240 is an apocalyptic number.

4494702240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825701248).

4494702240 is an abundant number, since it is smaller than the sum of its proper divisors (13156700256).

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

4494702240 is a wasteful number, since it uses less digits than its factorization.

4494702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4494702240 is about 67042.5405246549. The cubic root of 4494702240 is about 1650.3154878827.

The spelling of 4494702240 in words is "four billion, four hundred ninety-four million, seven hundred two thousand, two hundred forty".