Search a number
-
+
55462458240 = 2733572997163
BaseRepresentation
bin110011101001110100…
…011111001110000000
312022011021101210122000
4303221310133032000
51402041342130430
641251252544000
74002261054660
oct635164371600
9168137353560
1055462458240
1121581125852
12a8ba322000
1352cb66aa37
142981db41a0
1516991eae60
hexce9d1f380

55462458240 has 1024 divisors, whose sum is σ = 236065536000. Its totient is φ = 12039487488.

The previous prime is 55462458229. The next prime is 55462458263. The reversal of 55462458240 is 4285426455.

55462458240 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 24 + 582 + 40 = 666.

55462458240 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340260399 + ... + 340260561.

It is an arithmetic number, because the mean of its divisors is an integer number (230532750).

Almost surely, 255462458240 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 55462458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118032768000).

55462458240 is an abundant number, since it is smaller than the sum of its proper divisors (180603077760).

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

55462458240 is a wasteful number, since it uses less digits than its factorization.

55462458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 55462458240 in words is "fifty-five billion, four hundred sixty-two million, four hundred fifty-eight thousand, two hundred forty".