Search a number
-
+
249794838 = 232172311549
BaseRepresentation
bin11101110001110…
…01000100010110
3122102000220002200
432320321010112
51002421413323
640441545330
76122135556
oct1670710426
9572026080
10249794838
11119003617
126b7a5246
133c9a01c7
1425265166
1516de3443
hexee39116

249794838 has 72 divisors (see below), whose sum is σ = 593860800. Its totient is φ = 75790080.

The previous prime is 249794833. The next prime is 249794851. The reversal of 249794838 is 838497942.

249794838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2497948382 = 124794922182892488, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249794833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160488 + ... + 162036.

Almost surely, 2249794838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249794838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296930400).

249794838 is an abundant number, since it is smaller than the sum of its proper divisors (344065962).

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

249794838 is a wasteful number, since it uses less digits than its factorization.

249794838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 249794838 is about 15804.8991771539. The cubic root of 249794838 is about 629.7881525048.

The spelling of 249794838 in words is "two hundred forty-nine million, seven hundred ninety-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 289 306 527 558 578 867 1054 1549 1581 1734 2601 3098 3162 4647 4743 5202 8959 9294 9486 13941 17918 26333 26877 27882 48019 52666 53754 78999 80631 96038 144057 157998 161262 236997 288114 432171 447661 473994 816323 864342 895322 1342983 1632646 2448969 2685966 4028949 4897938 7346907 8057898 13877491 14693814 27754982 41632473 83264946 124897419 249794838