Search a number
-
+
249416608 = 2575232129
BaseRepresentation
bin11101101110111…
…00101110100000
3122101022200021011
432313130232200
51002322312413
640425510304
76116002060
oct1667345640
9571280234
10249416608
11118875431
126b642394
133c899cbc
14251a73a0
1516d6b33d
hexeddcba0

249416608 has 48 divisors (see below), whose sum is σ = 562524480. Its totient is φ = 106638336.

The previous prime is 249416599. The next prime is 249416621. The reversal of 249416608 is 806614942.

249416608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

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, 116088 + ... + 118216.

It is an arithmetic number, because the mean of its divisors is an integer number (11719260).

Almost surely, 2249416608 is an apocalyptic number.

249416608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249416608 is an abundant number, since it is smaller than the sum of its proper divisors (313107872).

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

249416608 is a wasteful number, since it uses less digits than its factorization.

249416608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 249416608 is about 15792.9290506859. The cubic root of 249416608 is about 629.4701247145.

The spelling of 249416608 in words is "two hundred forty-nine million, four hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 523 1046 2092 2129 3661 4184 4258 7322 8368 8516 14644 14903 16736 17032 29288 29806 34064 58576 59612 68128 117152 119224 238448 476896 1113467 2226934 4453868 7794269 8907736 15588538 17815472 31177076 35630944 62354152 124708304 249416608