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104992816 = 24171392777
BaseRepresentation
bin1100100001000…
…01000000110000
321022120012001211
412100201000300
5203334232231
614230205504
72413265335
oct620410060
9238505054
10104992816
11542a1725
122b1b3894
13189a1236
14dd3098c
15933deb1
hex6421030

104992816 has 40 divisors (see below), whose sum is σ = 217017360. Its totient is φ = 49035264.

The previous prime is 104992807. The next prime is 104992843. The reversal of 104992816 is 618299401.

It is a super-2 number, since 2×1049928162 = 22046982823219712, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36420 + ... + 39196.

It is an arithmetic number, because the mean of its divisors is an integer number (5425434).

Almost surely, 2104992816 is an apocalyptic number.

104992816 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 104992816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108508680).

104992816 is an abundant number, since it is smaller than the sum of its proper divisors (112024544).

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

104992816 is a wasteful number, since it uses less digits than its factorization.

104992816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 104992816 is about 10246.6002166572. The cubic root of 104992816 is about 471.7586384486.

The spelling of 104992816 in words is "one hundred four million, nine hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2363 2777 4726 5554 9452 11108 18904 22216 37808 44432 47209 94418 188836 377672 386003 755344 772006 1544012 3088024 6176048 6562051 13124102 26248204 52496408 104992816