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682137896 = 231143712539
BaseRepresentation
bin101000101010001…
…001100100101000
31202112120012021112
4220222021210220
52344111403041
6151404325452
722622035136
oct5052114450
91675505245
10682137896
1132005a330
12170543888
13ab4270bb
1466848756
153ed44deb
hex28a89928

682137896 has 64 divisors (see below), whose sum is σ = 1448409600. Its totient is φ = 298468800.

The previous prime is 682137893. The next prime is 682137899. The reversal of 682137896 is 698731286.

It is an interprime number because it is at equal distance from previous prime (682137893) and next prime (682137899).

It is not an unprimeable number, because it can be changed into a prime (682137893) 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 15 ways as a sum of consecutive naturals, for example, 267395 + ... + 269933.

It is an arithmetic number, because the mean of its divisors is an integer number (22631400).

Almost surely, 2682137896 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 682137896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724204800).

682137896 is an abundant number, since it is smaller than the sum of its proper divisors (766271704).

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

682137896 is a wasteful number, since it uses less digits than its factorization.

682137896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2666 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 682137896 is about 26117.7697363309. The cubic root of 682137896 is about 880.2865354794.

The spelling of 682137896 in words is "six hundred eighty-two million, one hundred thirty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 22 43 44 71 86 88 142 172 284 344 473 568 781 946 1562 1892 2539 3053 3124 3784 5078 6106 6248 10156 12212 20312 24424 27929 33583 55858 67166 109177 111716 134332 180269 218354 223432 268664 360538 436708 721076 873416 1200947 1442152 1982959 2401894 3965918 4803788 7751567 7931836 9607576 15503134 15863672 31006268 62012536 85267237 170534474 341068948 682137896