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104625856 = 2619139619
BaseRepresentation
bin1100011110001…
…11011011000000
321021212112200201
412033013123000
5203241011411
614214254544
72410206436
oct617073300
9237775621
10104625856
1154070a55
122b057454
13188a31ba
14dc76d56
1592ba3c1
hex63c76c0

104625856 has 56 divisors (see below), whose sum is σ = 220472000. Its totient is φ = 49123584.

The previous prime is 104625853. The next prime is 104625877. The reversal of 104625856 is 658526401.

It is not an unprimeable number, because it can be changed into a prime (104625853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168715 + ... + 169333.

It is an arithmetic number, because the mean of its divisors is an integer number (3937000).

Almost surely, 2104625856 is an apocalyptic number.

104625856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110236000).

104625856 is an abundant number, since it is smaller than the sum of its proper divisors (115846144).

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

104625856 is a wasteful number, since it uses less digits than its factorization.

104625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 104625856 is about 10228.6781159640. The cubic root of 104625856 is about 471.2083829314.

The spelling of 104625856 in words is "one hundred four million, six hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 139 152 278 304 556 608 619 1112 1216 1238 2224 2476 2641 4448 4952 5282 8896 9904 10564 11761 19808 21128 23522 39616 42256 47044 84512 86041 94088 169024 172082 188176 344164 376352 688328 752704 1376656 1634779 2753312 3269558 5506624 6539116 13078232 26156464 52312928 104625856