Search a number
-
+
9028462464 = 27327373313
BaseRepresentation
bin10000110100010001…
…10110011110000000
3212022012122102011200
420122020312132000
5121442241244324
64051515141200
7436506444000
oct103210663600
925265572150
109028462464
11391337152a
1218bb744800
13b0b6374a8
14619104000
1537c94eec9
hex21a236780

9028462464 has 384 divisors, whose sum is σ = 30810936000. Its totient is φ = 2536095744.

The previous prime is 9028462403. The next prime is 9028462477. The reversal of 9028462464 is 4642648209.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28844772 + ... + 28845084.

Almost surely, 29028462464 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 9028462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405468000).

9028462464 is an abundant number, since it is smaller than the sum of its proper divisors (21782473536).

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

9028462464 is a wasteful number, since it uses less digits than its factorization.

9028462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9028462464 is about 95018.2217471996. The cubic root of 9028462464 is about 2082.2742678378.

The spelling of 9028462464 in words is "nine billion, twenty-eight million, four hundred sixty-two thousand, four hundred sixty-four".