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104048712 = 233719313
BaseRepresentation
bin1100011001110…
…10100001001000
321020210020000000
412030322201020
5203114024322
614154043000
72402254005
oct614724110
9236706000
10104048712
1153807379
122aa19460
13187305b1
14db668ac
1592043ac
hex633a848

104048712 has 128 divisors (see below), whose sum is σ = 308976000. Its totient is φ = 32752512.

The previous prime is 104048689. The next prime is 104048719. The reversal of 104048712 is 217840401.

It is a super-2 number, since 2×1040487122 = 21652268937717888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104048719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332268 + ... + 332580.

It is an arithmetic number, because the mean of its divisors is an integer number (2413875).

Almost surely, 2104048712 is an apocalyptic number.

104048712 is a gapful number since it is divisible by the number (12) 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 104048712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154488000).

104048712 is an abundant number, since it is smaller than the sum of its proper divisors (204927288).

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

104048712 is an equidigital number, since it uses as much as digits as its factorization.

104048712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104048712 is about 10200.4270498837. The cubic root of 104048712 is about 470.3403480168.

The spelling of 104048712 in words is "one hundred four million, forty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 313 324 342 456 486 513 626 648 684 729 939 972 1026 1252 1368 1458 1539 1878 1944 2052 2187 2504 2817 2916 3078 3756 4104 4374 4617 5634 5832 5947 6156 7512 8451 8748 9234 11268 11894 12312 13851 16902 17496 17841 18468 22536 23788 25353 27702 33804 35682 36936 41553 47576 50706 53523 55404 67608 71364 76059 83106 101412 107046 110808 142728 152118 160569 166212 202824 214092 228177 304236 321138 332424 428184 456354 481707 608472 642276 684531 912708 963414 1284552 1369062 1445121 1825416 1926828 2738124 2890242 3853656 4335363 5476248 5780484 8670726 11560968 13006089 17341452 26012178 34682904 52024356 104048712