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6248744401 = 13725772
BaseRepresentation
bin1011101000111010…
…00100010111010001
3121010111010002211211
411310131010113101
5100244134310101
62512020140121
7310564310464
oct56435042721
917114102754
106248744401
112717287179
121264837641
1378778bac3
14433c7d2db
152688bec51
hex1747445d1

6248744401 has 9 divisors (see below), whose sum is σ = 6305616849. Its totient is φ = 6192382464.

The previous prime is 6248744387. The next prime is 6248744459. The reversal of 6248744401 is 1044478426.

The square root of 6248744401 is 79049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3152934801 + 3095809600 = 56151^2 + 55640^2 .

It is not a de Polignac number, because 6248744401 - 219 = 6248220113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6248744471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10829425 + ... + 10830001.

Almost surely, 26248744401 is an apocalyptic number.

6248744401 is the 79049-th square number.

6248744401 is the 39525-th centered octagonal number.

It is an amenable number.

6248744401 is a deficient number, since it is larger than the sum of its proper divisors (56872448).

6248744401 is an frugal number, since it uses more digits than its factorization.

6248744401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The cubic root of 6248744401 is about 1841.8923899586.

The spelling of 6248744401 in words is "six billion, two hundred forty-eight million, seven hundred forty-four thousand, four hundred one".

Divisors: 1 137 577 18769 79049 332929 10829713 45611273 6248744401