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644406448 = 2473294049
BaseRepresentation
bin100110011010001…
…101110010110000
31122220120020110111
4212122031302300
52304432001243
6143535511104
721653236000
oct4632156260
91586506414
10644406448
11300829114
1215b988494
13a3675cba
1461826000
153b89039d
hex2668dcb0

644406448 has 80 divisors (see below), whose sum is σ = 1506600000. Its totient is φ = 266585088.

The previous prime is 644406443. The next prime is 644406457. The reversal of 644406448 is 844604446.

It is a self number, because there is not a number n which added to its sum of digits gives 644406448.

It is not an unprimeable number, because it can be changed into a prime (644406443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157128 + ... + 161176.

It is an arithmetic number, because the mean of its divisors is an integer number (18832500).

Almost surely, 2644406448 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 644406448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753300000).

644406448 is an abundant number, since it is smaller than the sum of its proper divisors (862193552).

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

644406448 is a wasteful number, since it uses less digits than its factorization.

644406448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 644406448 is about 25385.1619652111. The cubic root of 644406448 is about 863.7471468020.

The spelling of 644406448 in words is "six hundred forty-four million, four hundred six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 343 392 406 464 686 784 812 1372 1421 1624 2744 2842 3248 4049 5488 5684 8098 9947 11368 16196 19894 22736 28343 32392 39788 56686 64784 79576 113372 117421 159152 198401 226744 234842 396802 453488 469684 793604 821947 939368 1388807 1587208 1643894 1878736 2777614 3174416 3287788 5555228 5753629 6575576 11110456 11507258 13151152 22220912 23014516 40275403 46029032 80550806 92058064 161101612 322203224 644406448