Search a number
-
+
2578494464 = 21072135967
BaseRepresentation
bin1001100110110000…
…1011010000000000
320122200220002102222
42121230023100000
520240043310324
61103510030212
7120616561400
oct23154132000
96580802388
102578494464
111103547067
125bb648368
13321283490
141a6644800
1510158355e
hex99b0b400

2578494464 has 264 divisors, whose sum is σ = 6664704480. Its totient is φ = 987807744.

The previous prime is 2578494437. The next prime is 2578494473. The reversal of 2578494464 is 4644948752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38484959 + ... + 38485025.

Almost surely, 22578494464 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 2578494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332352240).

2578494464 is an abundant number, since it is smaller than the sum of its proper divisors (4086210016).

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

2578494464 is a wasteful number, since it uses less digits than its factorization.

2578494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 53.

The square root of 2578494464 is about 50778.8781286078. The cubic root of 2578494464 is about 1371.2671360241.

The spelling of 2578494464 in words is "two billion, five hundred seventy-eight million, four hundred ninety-four thousand, four hundred sixty-four".