Search a number
-
+
254464992 = 25323532503
BaseRepresentation
bin11110010101011…
…01001111100000
3122201211011100100
433022231033200
51010120334432
641130022400
76206626305
oct1712551740
9581734310
10254464992
11120703351
1271277a00
1340946b02
1425b1d0ac
151751707c
hexf2ad3e0

254464992 has 72 divisors (see below), whose sum is σ = 725974704. Its totient is φ = 84547584.

The previous prime is 254464961. The next prime is 254464997. The reversal of 254464992 is 299464452.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254464997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100413 + ... + 102915.

It is an arithmetic number, because the mean of its divisors is an integer number (10082982).

Almost surely, 2254464992 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 254464992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362987352).

254464992 is an abundant number, since it is smaller than the sum of its proper divisors (471509712).

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

254464992 is a wasteful number, since it uses less digits than its factorization.

254464992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2861 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 254464992 is about 15951.9588765769. The cubic root of 254464992 is about 633.6887750571.

The spelling of 254464992 in words is "two hundred fifty-four million, four hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 353 706 1059 1412 2118 2503 2824 3177 4236 5006 5648 6354 7509 8472 10012 11296 12708 15018 16944 20024 22527 25416 30036 33888 40048 45054 50832 60072 80096 90108 101664 120144 180216 240288 360432 720864 883559 1767118 2650677 3534236 5301354 7068472 7952031 10602708 14136944 15904062 21205416 28273888 31808124 42410832 63616248 84821664 127232496 254464992