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2442879488 = 297681607
BaseRepresentation
bin1001000110011011…
…0110001000000000
320022020201010200002
42101212312020000
520000334120423
61042223215132
7114352063430
oct22146661000
96266633602
102442879488
111043a3a575
125821474a8
132cc15002a
141926222c0
15e46e6228
hex919b6200

2442879488 has 40 divisors (see below), whose sum is σ = 5578279872. Its totient is φ = 1046946816.

The previous prime is 2442879451. The next prime is 2442879499. The reversal of 2442879488 is 8849782442.

It is a super-4 number, since 4×24428794884 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 3 ways as a sum of consecutive naturals, for example, 337220 + ... + 344387.

Almost surely, 22442879488 is an apocalyptic number.

2442879488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2442879488 is an abundant number, since it is smaller than the sum of its proper divisors (3135400384).

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

2442879488 is an frugal number, since it uses more digits than its factorization.

2442879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681632 (or 681616 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 56.

The square root of 2442879488 is about 49425.4943121462. The cubic root of 2442879488 is about 1346.7924743862.

The spelling of 2442879488 in words is "two billion, four hundred forty-two million, eight hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 681607 1363214 2726428 4771249 5452856 9542498 10905712 19084996 21811424 38169992 43622848 76339984 87245696 152679968 174491392 305359936 348982784 610719872 1221439744 2442879488