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676093536 = 25321728123
BaseRepresentation
bin101000010011000…
…101111001100000
31202010012002222100
4220103011321200
52341034443121
6151031010400
722516462116
oct5023057140
91663162870
10676093536
11317701098
1216a509a00
13aa0bbb61
1465b13ab6
153e54e026
hex284c5e60

676093536 has 108 divisors (see below), whose sum is σ = 2042641692. Its totient is φ = 212081664.

The previous prime is 676093531. The next prime is 676093597. The reversal of 676093536 is 635390676.

676093536 is a `hidden beast` number, since 6 + 7 + 609 + 3 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 676093491 and 676093500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676093531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79171 + ... + 87293.

It is an arithmetic number, because the mean of its divisors is an integer number (18913349).

Almost surely, 2676093536 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 676093536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021320846).

676093536 is an abundant number, since it is smaller than the sum of its proper divisors (1366548156).

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

676093536 is a wasteful number, since it uses less digits than its factorization.

676093536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 676093536 is about 26001.7987070126. The cubic root of 676093536 is about 877.6787723523.

The spelling of 676093536 in words is "six hundred seventy-six million, ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 8123 9248 10404 13872 16246 20808 24369 27744 32492 41616 48738 64984 73107 83232 97476 129968 138091 146214 194952 259936 276182 292428 389904 414273 552364 584856 779808 828546 1104728 1169712 1242819 1657092 2209456 2339424 2347547 2485638 3314184 4418912 4695094 4971276 6628368 7042641 9390188 9942552 13256736 14085282 18780376 19885104 21127923 28170564 37560752 39770208 42255846 56341128 75121504 84511692 112682256 169023384 225364512 338046768 676093536