Search a number
-
+
19949248 = 261143659
BaseRepresentation
bin100110000011…
…0011011000000
31101112112020001
41030012123000
520101333443
61551325344
7331365034
oct114063300
941475201
1019949248
1110296190
126820854
1341962b7
1429141c4
151b40d4d
hex13066c0

19949248 has 56 divisors (see below), whose sum is σ = 44256960. Its totient is φ = 8843520.

The previous prime is 19949243. The next prime is 19949249. The reversal of 19949248 is 84294991.

It is a junction number, because it is equal to n+sod(n) for n = 19949198 and 19949207.

It is not an unprimeable number, because it can be changed into a prime (19949243) 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, 29943 + ... + 30601.

Almost surely, 219949248 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 19949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

19949248 is an abundant number, since it is smaller than the sum of its proper divisors (24307712).

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

19949248 is a wasteful number, since it uses less digits than its factorization.

19949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 19949248 is about 4466.4581045835. The cubic root of 19949248 is about 271.2119636331.

The spelling of 19949248 in words is "nineteen million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 659 688 704 946 1318 1376 1892 2636 2752 3784 5272 7249 7568 10544 14498 15136 21088 28337 28996 30272 42176 56674 57992 113348 115984 226696 231968 311707 453392 463936 623414 906784 1246828 1813568 2493656 4987312 9974624 19949248