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116446624 = 257641811
BaseRepresentation
bin1101111000011…
…01010110100000
322010010002201221
412330031112200
5214302242444
615315504424
72612531350
oct674152640
9263102657
10116446624
115a805088
1232bb8114
131b181738
1411672b60
15a352a84
hex6f0d5a0

116446624 has 48 divisors (see below), whose sum is σ = 262737216. Its totient is φ = 49766400.

The previous prime is 116446597. The next prime is 116446639. The reversal of 116446624 is 426644611.

It is a self number, because there is not a number n which added to its sum of digits gives 116446624.

It is an unprimeable number.

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, 143179 + ... + 143989.

It is an arithmetic number, because the mean of its divisors is an integer number (5473692).

Almost surely, 2116446624 is an apocalyptic number.

116446624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116446624 is an abundant number, since it is smaller than the sum of its proper divisors (146290592).

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

116446624 is an equidigital number, since it uses as much as digits as its factorization.

116446624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 116446624 is about 10791.0436937305. The cubic root of 116446624 is about 488.3250096880.

The spelling of 116446624 in words is "one hundred sixteen million, four hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 641 811 1282 1622 2564 3244 4487 5128 5677 6488 8974 10256 11354 12976 17948 20512 22708 25952 35896 45416 71792 90832 143584 181664 519851 1039702 2079404 3638957 4158808 7277914 8317616 14555828 16635232 29111656 58223312 116446624