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644381248 = 2672322719
BaseRepresentation
bin100110011010000…
…111101001000000
31122220111221220011
4212122013221000
52304430144443
6143535154304
721653102350
oct4632075100
91586457804
10644381248
11300811195
1215b975994
13a36676a4
146181ab60
153b887b9d
hex26687a40

644381248 has 84 divisors (see below), whose sum is σ = 1528226560. Its totient is φ = 264059136.

The previous prime is 644381239. The next prime is 644381249. The reversal of 644381248 is 842183446.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 644381248.

It is not an unprimeable number, because it can be changed into a prime (644381249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235633 + ... + 238351.

Almost surely, 2644381248 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 644381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764113280).

644381248 is an abundant number, since it is smaller than the sum of its proper divisors (883845312).

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

644381248 is a wasteful number, since it uses less digits than its factorization.

644381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2751 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 644381248 is about 25384.6656074095. The cubic root of 644381248 is about 863.7358874941.

The spelling of 644381248 in words is "six hundred forty-four million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 529 644 736 1058 1288 1472 2116 2576 2719 3703 4232 5152 5438 7406 8464 10304 10876 14812 16928 19033 21752 29624 33856 38066 43504 59248 62537 76132 87008 118496 125074 152264 174016 236992 250148 304528 437759 500296 609056 875518 1000592 1218112 1438351 1751036 2001184 2876702 3502072 4002368 5753404 7004144 10068457 11506808 14008288 20136914 23013616 28016576 40273828 46027232 80547656 92054464 161095312 322190624 644381248