Search a number
-
+
254643480 = 233357132591
BaseRepresentation
bin11110010110110…
…00110100011000
3122202011020012000
433023120310120
51010142042410
641133521000
76211301550
oct1713306430
9582136160
10254643480
11120815463
1271343160
13409aa120
1425b68160
151754edc0
hexf2d8d18

254643480 has 256 divisors, whose sum is σ = 1045094400. Its totient is φ = 53706240.

The previous prime is 254643449. The next prime is 254643503. The reversal of 254643480 is 84346452.

254643480 is a `hidden beast` number, since 2 + 5 + 4 + 643 + 4 + 8 + 0 = 666.

254643480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96985 + ... + 99575.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2254643480 is an apocalyptic number.

254643480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254643480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

254643480 is an abundant number, since it is smaller than the sum of its proper divisors (790450920).

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

254643480 is a wasteful number, since it uses less digits than its factorization.

254643480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 254643480 is about 15957.5524439057. The cubic root of 254643480 is about 633.8369020567.

The spelling of 254643480 in words is "two hundred fifty-four million, six hundred forty-three thousand, four hundred eighty".