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104848744 = 237111313093
BaseRepresentation
bin1100011111111…
…01110101101000
321022021212102211
412033331311220
5203320124434
614223134504
72412125320
oct617756550
9238255384
10104848744
1154203460
122b144434
13189507a0
14dcd4280
159311464
hex63fdd68

104848744 has 64 divisors (see below), whose sum is σ = 263975040. Its totient is φ = 37704960.

The previous prime is 104848729. The next prime is 104848781. The reversal of 104848744 is 447848401.

It is a junction number, because it is equal to n+sod(n) for n = 104848697 and 104848706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 14554.

It is an arithmetic number, because the mean of its divisors is an integer number (4124610).

Almost surely, 2104848744 is an apocalyptic number.

104848744 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 104848744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131987520).

104848744 is an abundant number, since it is smaller than the sum of its proper divisors (159126296).

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

104848744 is a wasteful number, since it uses less digits than its factorization.

104848744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 104848744 is about 10239.5675689943. The cubic root of 104848744 is about 471.5427559871.

It can be divided in two parts, 104 and 848744, that added together give a palindrome (848848).

The spelling of 104848744 in words is "one hundred four million, eight hundred forty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 13093 26186 52372 91651 104744 144023 170209 183302 288046 340418 366604 576092 680836 733208 1008161 1152184 1191463 1361672 1872299 2016322 2382926 3744598 4032644 4765852 7489196 8065288 9531704 13106093 14978392 26212186 52424372 104848744