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249114424 = 231319112541
BaseRepresentation
bin11101101100100…
…10111100111000
3122100202022202011
432312102330320
51002233130144
640415215304
76113303056
oct1666227470
9570668664
10249114424
11118689399
126b517534
133c7c25b0
14251291d6
1516d0ba34
hexed92f38

249114424 has 32 divisors (see below), whose sum is σ = 505693440. Its totient is φ = 114364800.

The previous prime is 249114373. The next prime is 249114431. The reversal of 249114424 is 424411942.

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, 13594 + ... + 26134.

It is an arithmetic number, because the mean of its divisors is an integer number (15802920).

Almost surely, 2249114424 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 249114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252846720).

249114424 is an abundant number, since it is smaller than the sum of its proper divisors (256579016).

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

249114424 is a wasteful number, since it uses less digits than its factorization.

249114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12747 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 249114424 is about 15783.3590848083. The cubic root of 249114424 is about 629.2158076866.

The spelling of 249114424 in words is "two hundred forty-nine million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 191 382 764 1528 2483 4966 9932 12541 19864 25082 50164 100328 163033 326066 652132 1304264 2395331 4790662 9581324 19162648 31139303 62278606 124557212 249114424