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104411928 = 23337307383
BaseRepresentation
bin1100011100100…
…11001100011000
321021110200020110
412032103030120
5203212140203
614205524320
72405325645
oct616231430
9237420213
10104411928
1153a35255
122ab736a0
1318829a0a
14dc1cdcc
159276d03
hex6393318

104411928 has 64 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 33664896.

The previous prime is 104411921. The next prime is 104411933. The reversal of 104411928 is 829114401.

It is a super-3 number, since 3×1044119283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104411895 and 104411904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104411921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272425 + ... + 272807.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2104411928 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 104411928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

104411928 is an abundant number, since it is smaller than the sum of its proper divisors (165248232).

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

104411928 is a wasteful number, since it uses less digits than its factorization.

104411928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 104411928 is about 10218.2154997827. The cubic root of 104411928 is about 470.8870045969.

The spelling of 104411928 in words is "one hundred four million, four hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 307 383 444 614 766 888 921 1149 1228 1532 1842 2298 2456 3064 3684 4596 7368 9192 11359 14171 22718 28342 34077 42513 45436 56684 68154 85026 90872 113368 117581 136308 170052 235162 272616 340104 352743 470324 705486 940648 1410972 2821944 4350497 8700994 13051491 17401988 26102982 34803976 52205964 104411928