Search a number
-
+
2426049408 = 27315740241
BaseRepresentation
bin1001000010011010…
…1001001110000000
320021002001002010210
42100212221032000
514432032040113
61040422354120
7114056036226
oct22046511600
96232032123
102426049408
111035494912
1257858b940
132c88096c3
141902c0b16
15e2ebe6c3
hex909a9380

2426049408 has 64 divisors (see below), whose sum is σ = 6485400720. Its totient is φ = 803512320.

The previous prime is 2426049389. The next prime is 2426049421. The reversal of 2426049408 is 8049406242.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 40168 + ... + 80408.

Almost surely, 22426049408 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 2426049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242700360).

2426049408 is an abundant number, since it is smaller than the sum of its proper divisors (4059351312).

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

2426049408 is a wasteful number, since it uses less digits than its factorization.

2426049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40415 (or 40403 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2426049408 is about 49254.9429803751. The cubic root of 2426049408 is about 1343.6924608122.

The spelling of 2426049408 in words is "two billion, four hundred twenty-six million, forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 40241 60288 80482 120723 160964 241446 321928 482892 643856 965784 1287712 1931568 2575424 3863136 5150848 6317837 7726272 12635674 15452544 18953511 25271348 37907022 50542696 75814044 101085392 151628088 202170784 303256176 404341568 606512352 808683136 1213024704 2426049408