Search a number
-
+
249157916 = 22717618581
BaseRepresentation
bin11101101100111…
…01100100011100
3122100211112101222
432312131210130
51002241023131
640420152512
76113543630
oct1666354434
9570745358
10249157916
11118709037
126b538738
133c809327
142513adc0
1516d1987b
hexed9d91c

249157916 has 48 divisors (see below), whose sum is σ = 536340672. Its totient is φ = 98841600.

The previous prime is 249157897. The next prime is 249157991. The reversal of 249157916 is 619751942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24746 + ... + 33326.

It is an arithmetic number, because the mean of its divisors is an integer number (11173764).

Almost surely, 2249157916 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 249157916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268170336).

249157916 is an abundant number, since it is smaller than the sum of its proper divisors (287182756).

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

249157916 is a wasteful number, since it uses less digits than its factorization.

249157916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8668 counting only the distinct ones).

The product of its digits is 136080, while the sum is 44.

The square root of 249157916 is about 15784.7368049011. The cubic root of 249157916 is about 629.2524230714.

The spelling of 249157916 in words is "two hundred forty-nine million, one hundred fifty-seven thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 854 1037 1708 2074 4148 7259 8581 14518 17162 29036 34324 60067 120134 145877 240268 291754 523441 583508 1021139 1046882 2042278 2093764 3664087 4084556 7328174 8898497 14656348 17796994 35593988 62289479 124578958 249157916