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646393968 = 243211408077
BaseRepresentation
bin100110100001110…
…011000001110000
31200001022012211100
4212201303001300
52310434101333
6144050244400
722006154343
oct4641630160
91601265740
10646393968
113019663a0
12160586700
13a3bc084c
1461bc245a
153bb34213
hex26873070

646393968 has 60 divisors (see below), whose sum is σ = 1973465208. Its totient is φ = 195876480.

The previous prime is 646393939. The next prime is 646393981. The reversal of 646393968 is 869393646.

It is a happy number.

646393968 is a `hidden beast` number, since 6 + 463 + 93 + 96 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202455 + ... + 205622.

Almost surely, 2646393968 is an apocalyptic number.

It is an amenable number.

646393968 is an abundant number, since it is smaller than the sum of its proper divisors (1327071240).

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

646393968 is a wasteful number, since it uses less digits than its factorization.

646393968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408102 (or 408093 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 646393968 is about 25424.2791048242. The cubic root of 646393968 is about 864.6342436637.

The spelling of 646393968 in words is "six hundred forty-six million, three hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 408077 816154 1224231 1632308 2448462 3264616 3672693 4488847 4896924 6529232 7345386 8977694 9793848 13466541 14690772 17955388 19587696 26933082 29381544 35910776 40399623 53866164 58763088 71821552 80799246 107732328 161598492 215464656 323196984 646393968