Search a number
-
+
104264224 = 2537107823
BaseRepresentation
bin1100011011011…
…11001000100000
321021012011121221
412031233020200
5203142423344
614202424424
72404142221
oct615571040
9237164557
10104264224
1153944289
122ab02114
13187a770c
14dbc1248
159248184
hex636f220

104264224 has 48 divisors (see below), whose sum is σ = 213046848. Its totient is φ = 50188032.

The previous prime is 104264201. The next prime is 104264227. The reversal of 104264224 is 422462401.

It is a happy number.

It is a super-4 number, since 4×1042642244 (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (104264227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126277 + ... + 127099.

It is an arithmetic number, because the mean of its divisors is an integer number (4438476).

Almost surely, 2104264224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106523424).

104264224 is an abundant number, since it is smaller than the sum of its proper divisors (108782624).

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

104264224 is a wasteful number, since it uses less digits than its factorization.

104264224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 104264224 is about 10210.9854568499. The cubic root of 104264224 is about 470.6648565532.

The spelling of 104264224 in words is "one hundred four million, two hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 107 148 214 296 428 592 823 856 1184 1646 1712 3292 3424 3959 6584 7918 13168 15836 26336 30451 31672 60902 63344 88061 121804 126688 176122 243608 352244 487216 704488 974432 1408976 2817952 3258257 6516514 13033028 26066056 52132112 104264224