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682868448 = 25333741521
BaseRepresentation
bin101000101100111…
…011111011100000
31202120221022102000
4220230323323200
52344303242243
6151432124000
722631200053
oct5054737340
91676838360
10682868448
11320509199
12170836600
13ab621792
1466998a9a
153ee3b5d3
hex28b3bee0

682868448 has 192 divisors, whose sum is σ = 2099442240. Its totient is φ = 215654400.

The previous prime is 682868447. The next prime is 682868449. The reversal of 682868448 is 844868286.

It is an interprime number because it is at equal distance from previous prime (682868447) and next prime (682868449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 682868394 and 682868403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682868443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310428 + ... + 1310948.

It is an arithmetic number, because the mean of its divisors is an integer number (10934595).

Almost surely, 2682868448 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 682868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049721120).

682868448 is an abundant number, since it is smaller than the sum of its proper divisors (1416573792).

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

682868448 is a wasteful number, since it uses less digits than its factorization.

682868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 682868448 is about 26131.7517208472. The cubic root of 682868448 is about 880.6006780449.

The spelling of 682868448 in words is "six hundred eighty-two million, eight hundred sixty-eight thousand, four hundred forty-eight".