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684241448 = 231125313337
BaseRepresentation
bin101000110010001…
…011001000101000
31202200112001210212
4220302023020220
52400131211243
6151521400252
722645646012
oct5062131050
91680461725
10684241448
11321266800
12171199088
13ab9b26c7
1466c351b2
154010d318
hex28c8b228

684241448 has 48 divisors (see below), whose sum is σ = 1436902740. Its totient is φ = 305127680.

The previous prime is 684241447. The next prime is 684241451. The reversal of 684241448 is 844142486.

It can be written as a sum of positive squares in 2 ways, for example, as 684240964 + 484 = 26158^2 + 22^2 .

It is a super-2 number, since 2×6842414482 = 936372718322273408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (684241447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44636 + ... + 57972.

Almost surely, 2684241448 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 684241448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718451370).

684241448 is an abundant number, since it is smaller than the sum of its proper divisors (752661292).

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

684241448 is a wasteful number, since it uses less digits than its factorization.

684241448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13418 (or 13403 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 684241448 is about 26158.0092514702. The cubic root of 684241448 is about 881.1904721254.

The spelling of 684241448 in words is "six hundred eighty-four million, two hundred forty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 4664 6413 12826 13337 25652 26674 51304 53348 106696 146707 293414 586828 706861 1173656 1413722 1613777 2827444 3227554 5654888 6455108 7775471 12910216 15550942 31101884 62203768 85530181 171060362 342120724 684241448