Search a number
-
+
2426455136 = 25738328283
BaseRepresentation
bin1001000010100000…
…1100010001100000
320021002210200200202
42100220030101200
514432133031021
61040435204332
7114062346140
oct22050142140
96232720622
102426455136
111035741726
125787466a8
132c891c291
14190388920
15e304ea0b
hex90a0c460

2426455136 has 48 divisors (see below), whose sum is σ = 5473972224. Its totient is φ = 1037157504.

The previous prime is 2426455111. The next prime is 2426455147. The reversal of 2426455136 is 6315546242.

It is a self number, because there is not a number n which added to its sum of digits gives 2426455136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71651 + ... + 99933.

It is an arithmetic number, because the mean of its divisors is an integer number (114041088).

Almost surely, 22426455136 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 2426455136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736986112).

2426455136 is an abundant number, since it is smaller than the sum of its proper divisors (3047517088).

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

2426455136 is a wasteful number, since it uses less digits than its factorization.

2426455136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28675 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 2426455136 is about 49259.0614608115. The cubic root of 2426455136 is about 1343.7673621813.

The spelling of 2426455136 in words is "two billion, four hundred twenty-six million, four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 383 766 1532 2681 3064 5362 6128 10724 12256 21448 28283 42896 56566 85792 113132 197981 226264 395962 452528 791924 905056 1583848 3167696 6335392 10832389 21664778 43329556 75826723 86659112 151653446 173318224 303306892 346636448 606613784 1213227568 2426455136