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104969844 = 22347311493
BaseRepresentation
bin1100100000110…
…11011001110100
321022112000120000
412100123121310
5203333013334
614225511300
72413141350
oct620333164
9238460500
10104969844
1154286441
122b1a2530
1318993945
14dd26460
159337299
hex641b674

104969844 has 120 divisors (see below), whose sum is σ = 323947008. Its totient is φ = 29004480.

The previous prime is 104969833. The next prime is 104969863. The reversal of 104969844 is 448969401.

It is a super-2 number, since 2×1049698442 = 22037336298768672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104969844.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 69562 + ... + 71054.

Almost surely, 2104969844 is an apocalyptic number.

104969844 is a gapful number since it is divisible by the number (14) 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 104969844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161973504).

104969844 is an abundant number, since it is smaller than the sum of its proper divisors (218977164).

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

104969844 is a wasteful number, since it uses less digits than its factorization.

104969844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 104969844 is about 10245.4791981635. The cubic root of 104969844 is about 471.7242296502.

The spelling of 104969844 in words is "one hundred four million, nine hundred sixty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1493 1674 1953 2268 2511 2604 2986 3348 3906 4479 5022 5859 5972 7812 8958 10044 10451 11718 13437 17577 17916 20902 23436 26874 31353 35154 40311 41804 46283 53748 62706 70308 80622 92566 94059 120933 125412 138849 161244 185132 188118 241866 277698 282177 323981 376236 416547 483732 555396 564354 647962 833094 846531 971943 1128708 1249641 1295924 1666188 1693062 1943886 2499282 2915829 3386124 3748923 3887772 4998564 5831658 7497846 8747487 11663316 14995692 17494974 26242461 34989948 52484922 104969844