Search a number
-
+
5075389440 = 21032511171931
BaseRepresentation
bin1001011101000010…
…00100110000000000
3111002201020111102200
410232201010300000
540343244430230
62155343113200
7236526045522
oct45641046000
914081214380
105075389440
112174a1a230
12b978a2800
1362b666524
143620c7a12
151ea899160
hex12e844c00

5075389440 has 1056 divisors, whose sum is σ = 22072227840. Its totient is φ = 1061683200.

The previous prime is 5075389439. The next prime is 5075389453. The reversal of 5075389440 is 449835705.

5075389440 is a `hidden beast` number, since 507 + 53 + 8 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 163722225 + ... + 163722255.

Almost surely, 25075389440 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 5075389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036113920).

5075389440 is an abundant number, since it is smaller than the sum of its proper divisors (16996838400).

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

5075389440 is a wasteful number, since it uses less digits than its factorization.

5075389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5075389440 is about 71241.7675243954. The cubic root of 5075389440 is about 1718.5273856650.

The spelling of 5075389440 in words is "five billion, seventy-five million, three hundred eighty-nine thousand, four hundred forty".