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675808632 = 233223676091
BaseRepresentation
bin101000010010000…
…000010101111000
31202002122122011100
4220102000111320
52341001334012
6151020531400
722514164362
oct5022002570
91662578140
10675808632
11317527034
1216a3b0b60
13aa01c285
1465a7bd32
153e4e48dc
hex28480578

675808632 has 96 divisors (see below), whose sum is σ = 1938718080. Its totient is φ = 212224320.

The previous prime is 675808621. The next prime is 675808643. The reversal of 675808632 is 236808576.

675808632 is a `hidden beast` number, since 6 + 7 + 5 + 8 + 0 + 8 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (675808621) and next prime (675808643).

It is a super-2 number, since 2×6758086322 = 913434614171422848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107907 + ... + 113997.

It is an arithmetic number, because the mean of its divisors is an integer number (20194980).

Almost surely, 2675808632 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 675808632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969359040).

675808632 is an abundant number, since it is smaller than the sum of its proper divisors (1262909448).

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

675808632 is a wasteful number, since it uses less digits than its factorization.

675808632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 675808632 is about 25996.3195856644. The cubic root of 675808632 is about 877.5554712054. Note that the first 3 decimals are identical.

The spelling of 675808632 in words is "six hundred seventy-five million, eight hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 67 69 72 92 134 138 184 201 207 268 276 402 414 536 552 603 804 828 1206 1541 1608 1656 2412 3082 4623 4824 6091 6164 9246 12182 12328 13869 18273 18492 24364 27738 36546 36984 48728 54819 55476 73092 109638 110952 140093 146184 219276 280186 408097 420279 438552 560372 816194 840558 1120744 1224291 1260837 1632388 1681116 2448582 2521674 3264776 3362232 3672873 4897164 5043348 7345746 9386231 9794328 10086696 14691492 18772462 28158693 29382984 37544924 56317386 75089848 84476079 112634772 168952158 225269544 337904316 675808632