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2426314848 = 25338516563
BaseRepresentation
bin1001000010011110…
…1010000001100000
320021002112120020220
42100213222001200
514432114033343
61040432203040
7114061223136
oct22047520140
96232476226
102426314848
111035656291
12578699480
132c88a0479
1419034d756
15e3023183
hex909ea060

2426314848 has 48 divisors (see below), whose sum is σ = 6371701056. Its totient is φ = 808438400.

The previous prime is 2426314823. The next prime is 2426314859. The reversal of 2426314848 is 8484136242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 366415 + ... + 372977.

It is an arithmetic number, because the mean of its divisors is an integer number (132743772).

Almost surely, 22426314848 is an apocalyptic number.

It is an amenable number.

2426314848 is an abundant number, since it is smaller than the sum of its proper divisors (3945386208).

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

2426314848 is a wasteful number, since it uses less digits than its factorization.

2426314848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10419 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 2426314848 is about 49257.6374585708. The cubic root of 2426314848 is about 1343.7414645847.

The spelling of 2426314848 in words is "two billion, four hundred twenty-six million, three hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3851 6563 7702 11553 13126 15404 19689 23106 26252 30808 39378 46212 52504 61616 78756 92424 105008 123232 157512 184848 210016 315024 369696 630048 25274113 50548226 75822339 101096452 151644678 202192904 303289356 404385808 606578712 808771616 1213157424 2426314848