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685508652 = 2232235231583
BaseRepresentation
bin101000110111000…
…000100000101100
31202202220110002100
4220313000200230
52400442234102
6152004455100
722662504333
oct5067004054
91682813070
10685508652
11321a51884
121716aa490
13ac03742a
1467084d1a
15402ada1c
hex28dc082c

685508652 has 72 divisors (see below), whose sum is σ = 1812754944. Its totient is φ = 218012256.

The previous prime is 685508651. The next prime is 685508653. The reversal of 685508652 is 256805586.

685508652 is a `hidden beast` number, since 6 + 85 + 508 + 65 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (685508651) and next prime (685508653).

It is a super-2 number, since 2×6855086522 = 939844223933714208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 685508598 and 685508607.

It is not an unprimeable number, because it can be changed into a prime (685508651) 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 23 ways as a sum of consecutive naturals, for example, 432253 + ... + 433835.

It is an arithmetic number, because the mean of its divisors is an integer number (25177152).

Almost surely, 2685508652 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 685508652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906377472).

685508652 is an abundant number, since it is smaller than the sum of its proper divisors (1127246292).

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

685508652 is a wasteful number, since it uses less digits than its factorization.

685508652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 685508652 is about 26182.2201503234. The cubic root of 685508652 is about 881.7341201143.

The spelling of 685508652 in words is "six hundred eighty-five million, five hundred eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 523 828 1046 1569 1583 2092 3138 3166 4707 4749 6276 6332 9414 9498 12029 14247 18828 18996 24058 28494 36087 36409 48116 56988 72174 72818 108261 109227 144348 145636 216522 218454 327681 433044 436908 655362 827909 1310724 1655818 2483727 3311636 4967454 7451181 9934908 14902362 19041907 29804724 38083814 57125721 76167628 114251442 171377163 228502884 342754326 685508652