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104498478 = 2337273541
BaseRepresentation
bin1100011101010…
…00010100101110
321021122001222000
412032220110232
5203222422403
614211433130
72406136200
oct616502456
9237561860
10104498478
1153a94287
122abb57a6
131885a226
14dc42770
1592927a3
hex63a852e

104498478 has 96 divisors (see below), whose sum is σ = 274338720. Its totient is φ = 29393280.

The previous prime is 104498477. The next prime is 104498491. The reversal of 104498478 is 874894401.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104498477) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 192888 + ... + 193428.

It is an arithmetic number, because the mean of its divisors is an integer number (2857695).

Almost surely, 2104498478 is an apocalyptic number.

104498478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104498478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137169360).

104498478 is an abundant number, since it is smaller than the sum of its proper divisors (169840242).

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

104498478 is a wasteful number, since it uses less digits than its factorization.

104498478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

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

The square root of 104498478 is about 10222.4497064060. The cubic root of 104498478 is about 471.0170791811.

It can be divided in two parts, 104498 and 478, that added together give a 4-th power (104976 = 184).

The spelling of 104498478 in words is "one hundred four million, four hundred ninety-eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 73 98 126 146 147 189 219 294 378 438 441 511 541 657 882 1022 1082 1314 1323 1533 1623 1971 2646 3066 3246 3577 3787 3942 4599 4869 7154 7574 9198 9738 10731 11361 13797 14607 21462 22722 26509 27594 29214 32193 34083 39493 53018 64386 68166 78986 79527 96579 102249 118479 159054 193158 204498 236958 238581 276451 355437 477162 552902 710874 715743 829353 1066311 1431486 1658706 1935157 2132622 2488059 3870314 4976118 5805471 7464177 11610942 14928354 17416413 34832826 52249239 104498478