Search a number
-
+
2026644480 = 210325761103
BaseRepresentation
bin111100011001100…
…0010010000000000
312020020111012120200
41320303002100000
513122310110410
6533034005200
7101136123330
oct17063022000
95206435520
102026644480
1194aa95aa3
12486876800
13263b45c23
141532330c0
15bcdc73c0
hex78cc2400

2026644480 has 528 divisors, whose sum is σ = 8236210944. Its totient is φ = 451215360.

The previous prime is 2026644463. The next prime is 2026644527. The reversal of 2026644480 is 844466202.

It is a happy number.

2026644480 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 644 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19676109 + ... + 19676211.

Almost surely, 22026644480 is an apocalyptic number.

2026644480 is a gapful number since it is divisible by the number (20) 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 2026644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118105472).

2026644480 is an abundant number, since it is smaller than the sum of its proper divisors (6209566464).

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

2026644480 is a wasteful number, since it uses less digits than its factorization.

2026644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2026644480 is about 45018.2682918835. The cubic root of 2026644480 is about 1265.4913764368.

It can be divided in two parts, 20266 and 44480, that added together give a palindrome (64746).

The spelling of 2026644480 in words is "two billion, twenty-six million, six hundred forty-four thousand, four hundred eighty".