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104858312 = 231317127467
BaseRepresentation
bin1100100000000…
…00001011001000
321022022100120012
412100000023020
5203320431222
614223251052
72412165236
oct620001310
9238270505
10104858312
115420a669
122b149a88
1318954c50
14dcd7956
1593141e2
hex64002c8

104858312 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 45093888.

The previous prime is 104858249. The next prime is 104858317. The reversal of 104858312 is 213858401.

It is not an unprimeable number, because it can be changed into a prime (104858317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224303 + ... + 224769.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2104858312 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 104858312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

104858312 is an abundant number, since it is smaller than the sum of its proper divisors (121578808).

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

104858312 is a wasteful number, since it uses less digits than its factorization.

104858312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 104858312 is about 10240.0347655660. The cubic root of 104858312 is about 471.5570991374.

The spelling of 104858312 in words is "one hundred four million, eight hundred fifty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 127 136 221 254 442 467 508 884 934 1016 1651 1768 1868 2159 3302 3736 4318 6071 6604 7939 8636 12142 13208 15878 17272 24284 28067 31756 48568 56134 59309 63512 103207 112268 118618 206414 224536 237236 412828 474472 771017 825656 1008253 1542034 2016506 3084068 4033012 6168136 8066024 13107289 26214578 52429156 104858312