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104879448 = 23342331227
BaseRepresentation
bin1100100000001…
…01010101011000
321022100102120000
412100011111120
5203322120243
614223533000
72412313662
oct620052530
9238312500
10104879448
1154224533
122b15a160
131896175b
14dd01532
15931a5d3
hex6405558

104879448 has 160 divisors (see below), whose sum is σ = 317813760. Its totient is φ = 32218560.

The previous prime is 104879413. The next prime is 104879459. The reversal of 104879448 is 844978401.

It is a super-2 number, since 2×1048794482 = 21999397225569408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 461911 + ... + 462137.

It is an arithmetic number, because the mean of its divisors is an integer number (1986336).

Almost surely, 2104879448 is an apocalyptic number.

104879448 is a gapful number since it is divisible by the number (18) 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 104879448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158906880).

104879448 is an abundant number, since it is smaller than the sum of its proper divisors (212934312).

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

104879448 is a wasteful number, since it uses less digits than its factorization.

104879448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 104879448 is about 10241.0667413117. The cubic root of 104879448 is about 471.5887804957.

The spelling of 104879448 in words is "one hundred four million, eight hundred seventy-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 81 92 93 108 124 138 162 184 186 207 216 227 248 276 279 324 372 414 454 552 558 621 648 681 713 744 828 837 908 1116 1242 1362 1426 1656 1674 1816 1863 2043 2139 2232 2484 2511 2724 2852 3348 3726 4086 4278 4968 5022 5221 5448 5704 6129 6417 6696 7037 7452 8172 8556 10044 10442 12258 12834 14074 14904 15663 16344 17112 18387 19251 20088 20884 21111 24516 25668 28148 31326 36774 38502 41768 42222 46989 49032 51336 56296 57753 62652 63333 73548 77004 84444 93978 115506 125304 126666 140967 147096 154008 161851 168888 187956 189999 231012 253332 281934 323702 375912 379998 422901 462024 485553 506664 563868 569997 647404 759996 845802 971106 1127736 1139994 1294808 1456659 1519992 1691604 1942212 2279988 2913318 3383208 3884424 4369977 4559976 5826636 8739954 11653272 13109931 17479908 26219862 34959816 52439724 104879448