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4402243296 = 2533112172477
BaseRepresentation
bin1000001100110010…
…01110011011100000
3102100210121010112000
410012121032123200
533003433241141
62004455204000
7214043310363
oct40631163340
912323533460
104402243296
111959a51600
12a2a376600
1355206a0b9
142da9400da
151ab72d5b6
hex10664e6e0

4402243296 has 288 divisors, whose sum is σ = 14949476640. Its totient is φ = 1255034880.

The previous prime is 4402243283. The next prime is 4402243301. The reversal of 4402243296 is 6923422044.

4402243296 is a `hidden beast` number, since 4 + 402 + 243 + 2 + 9 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4402243296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1776010 + ... + 1778486.

It is an arithmetic number, because the mean of its divisors is an integer number (51907905).

Almost surely, 24402243296 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 4402243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474738320).

4402243296 is an abundant number, since it is smaller than the sum of its proper divisors (10547233344).

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

4402243296 is a wasteful number, since it uses less digits than its factorization.

4402243296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4402243296 is about 66349.4031322061. The cubic root of 4402243296 is about 1638.9209757254.

The spelling of 4402243296 in words is "four billion, four hundred two million, two hundred forty-three thousand, two hundred ninety-six".