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682672384 = 28232712
BaseRepresentation
bin101000101100001…
…100000100000000
31202120120100110101
4220230030010000
52344231004014
6151424012144
722626422332
oct5054140400
91676510411
10682672384
11320394959
12170761054
13ab583474
1466947452
153eded474
hex28b0c100

682672384 has 81 divisors (see below), whose sum is σ = 1444846879. Its totient is φ = 321896960.

The previous prime is 682672373. The next prime is 682672387. The reversal of 682672384 is 483276286.

The square root of 682672384 is 26128.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

Its product of digits (774144) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (682672387) 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, 9615069 + ... + 9615139.

Almost surely, 2682672384 is an apocalyptic number.

682672384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

682672384 is the 26128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682672384

682672384 is an abundant number, since it is smaller than the sum of its proper divisors (762174495).

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

682672384 is an frugal number, since it uses more digits than its factorization.

682672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The cubic root of 682672384 is about 880.5163911331.

The spelling of 682672384 in words is "six hundred eighty-two million, six hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 128 142 184 256 284 368 529 568 736 1058 1136 1472 1633 2116 2272 2944 3266 4232 4544 5041 5888 6532 8464 9088 10082 13064 16928 18176 20164 26128 33856 37559 40328 52256 67712 75118 80656 104512 115943 135424 150236 161312 209024 231886 300472 322624 418048 463772 600944 645248 927544 1201888 1290496 1855088 2403776 2666689 3710176 4807552 5333378 7420352 9615104 10666756 14840704 21333512 29681408 42667024 85334048 170668096 341336192 682672384