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2429784028 = 227130166701
BaseRepresentation
bin1001000011010011…
…1000111111011100
320021100001211002001
42100310320333130
514434011042103
61041034412044
7114132552310
oct22064707734
96240054061
102429784028
111037605781
12579891024
132c9516539
141909b3b40
15e34ab01d
hex90d38fdc

2429784028 has 24 divisors (see below), whose sum is σ = 4863376224. Its totient is φ = 1040520000.

The previous prime is 2429784023. The next prime is 2429784031. The reversal of 2429784028 is 8204879242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429784023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 69778.

It is an arithmetic number, because the mean of its divisors is an integer number (202640676).

Almost surely, 22429784028 is an apocalyptic number.

2429784028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2429784028 is an abundant number, since it is smaller than the sum of its proper divisors (2433592196).

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

2429784028 is a wasteful number, since it uses less digits than its factorization.

2429784028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68013 (or 68011 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2429784028 is about 49292.8395205632. The cubic root of 2429784028 is about 1344.3815932420.

The spelling of 2429784028 in words is "two billion, four hundred twenty-nine million, seven hundred eighty-four thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 1301 2602 5204 9107 18214 36428 66701 133402 266804 466907 933814 1867628 86778001 173556002 347112004 607446007 1214892014 2429784028