Search a number
-
+
2041431984 = 243441103373
BaseRepresentation
bin111100110101101…
…1100011110110000
312021021022111020000
41321223130132300
513140101310414
6534322550000
7101405612514
oct17153343660
95237274200
102041431984
11958376079
1248b808300
13266c22927
141551a2144
15be348b09
hex79adc7b0

2041431984 has 200 divisors, whose sum is σ = 6127753632. Its totient is φ = 655672320.

The previous prime is 2041431983. The next prime is 2041432013. The reversal of 2041431984 is 4891341402.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2041431983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5472822 + ... + 5473194.

Almost surely, 22041431984 is an apocalyptic number.

2041431984 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 2041431984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063876816).

2041431984 is an abundant number, since it is smaller than the sum of its proper divisors (4086321648).

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

2041431984 is a wasteful number, since it uses less digits than its factorization.

2041431984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2041431984 is about 45182.2087109517. The cubic root of 2041431984 is about 1268.5618258169.

The spelling of 2041431984 in words is "two billion, forty-one million, four hundred thirty-one thousand, nine hundred eighty-four".