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645678096 = 243722711013
BaseRepresentation
bin100110011111000…
…100010000010000
31122222221211211120
4212133010100100
52310243144341
6144023042240
722000113300
oct4637042020
91588854746
10645678096
11301517568
121602a0380
13a39cca5b
1461a77600
153ba42066
hex267c4410

645678096 has 120 divisors (see below), whose sum is σ = 1949410944. Its totient is φ = 183617280.

The previous prime is 645678091. The next prime is 645678097. The reversal of 645678096 is 690876546.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (645678091) 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, 636886 + ... + 637898.

Almost surely, 2645678096 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 645678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974705472).

645678096 is an abundant number, since it is smaller than the sum of its proper divisors (1303732848).

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

645678096 is a wasteful number, since it uses less digits than its factorization.

645678096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 645678096 is about 25410.1966934536. The cubic root of 645678096 is about 864.3149357721.

The spelling of 645678096 in words is "six hundred forty-five million, six hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 271 294 336 392 542 588 784 813 1013 1084 1176 1626 1897 2026 2168 2352 3039 3252 3794 4052 4336 5691 6078 6504 7091 7588 8104 11382 12156 13008 13279 14182 15176 16208 21273 22764 24312 26558 28364 30352 39837 42546 45528 48624 49637 53116 56728 79674 85092 91056 99274 106232 113456 148911 159348 170184 198548 212464 274523 297822 318696 340368 397096 549046 595644 637392 794192 823569 1098092 1191288 1647138 1921661 2196184 2382576 3294276 3843322 4392368 5764983 6588552 7686644 11529966 13177104 13451627 15373288 23059932 26903254 30746576 40354881 46119864 53806508 80709762 92239728 107613016 161419524 215226032 322839048 645678096