Search a number
-
+
19117248 = 263175857
BaseRepresentation
bin100100011101…
…1010011000000
31022222020221020
41020323103000
514343222443
61521425440
7321331263
oct110732300
938866836
1019117248
11a878087
12649b280
133c646a7
142778cda
151a29583
hex123b4c0

19117248 has 56 divisors (see below), whose sum is σ = 53565552. Its totient is φ = 5996544.

The previous prime is 19117237. The next prime is 19117253. The reversal of 19117248 is 84271191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336 + ... + 6192.

Almost surely, 219117248 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 19117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782776).

19117248 is an abundant number, since it is smaller than the sum of its proper divisors (34448304).

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

19117248 is a wasteful number, since it uses less digits than its factorization.

19117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5879 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 19117248 is about 4372.3275266155. The cubic root of 19117248 is about 267.3879252169.

The spelling of 19117248 in words is "nineteen million, one hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 5857 11714 17571 23428 35142 46856 70284 93712 99569 140568 187424 199138 281136 298707 374848 398276 562272 597414 796552 1124544 1194828 1593104 2389656 3186208 4779312 6372416 9558624 19117248