Search a number
-
+
2890355424 = 2531143531201
BaseRepresentation
bin1010110001000111…
…0101001011100000
321110102201021020220
42230101311023200
521404412333144
61154450203040
7131424421125
oct25421651340
97412637226
102890355424
1112535918a0
12687b83480
13370a74ba8
141d5c2474c
1511db36919
hexac4752e0

2890355424 has 192 divisors, whose sum is σ = 8636398848. Its totient is φ = 838656000.

The previous prime is 2890355417. The next prime is 2890355443. The reversal of 2890355424 is 4245530982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406024 + ... + 2407224.

It is an arithmetic number, because the mean of its divisors is an integer number (44981244).

Almost surely, 22890355424 is an apocalyptic number.

2890355424 is a gapful number since it is divisible by the number (24) 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 2890355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318199424).

2890355424 is an abundant number, since it is smaller than the sum of its proper divisors (5746043424).

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

2890355424 is a wasteful number, since it uses less digits than its factorization.

2890355424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2890355424 is about 53762.0258546867. The cubic root of 2890355424 is about 1424.4605199494.

The spelling of 2890355424 in words is "two billion, eight hundred ninety million, three hundred fifty-five thousand, four hundred twenty-four".