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2429393408 = 2913364993
BaseRepresentation
bin1001000011001101…
…1001101000000000
320021022022222020122
42100303121220000
514433411042113
61041022155412
7114126334421
oct22063315000
96238288218
102429393408
111037369252
12579722b68
132c940a7c0
14190911648
15e3430408
hex90cd9a00

2429393408 has 40 divisors (see below), whose sum is σ = 5227444068. Its totient is φ = 1121255424.

The previous prime is 2429393389. The next prime is 2429393413. The reversal of 2429393408 is 8043939242.

It can be written as a sum of positive squares in 2 ways, for example, as 2104240384 + 325153024 = 45872^2 + 18032^2 .

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, 175841 + ... + 189152.

Almost surely, 22429393408 is an apocalyptic number.

It is an amenable number.

2429393408 is an abundant number, since it is smaller than the sum of its proper divisors (2798050660).

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

2429393408 is an equidigital number, since it uses as much as digits as its factorization.

2429393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365024 (or 365008 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 2429393408 is about 49288.8771225314. The cubic root of 2429393408 is about 1344.3095469921.

The spelling of 2429393408 in words is "two billion, four hundred twenty-nine million, three hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 364993 729986 1459972 2919944 4744909 5839888 9489818 11679776 18979636 23359552 37959272 46719104 75918544 93438208 151837088 186876416 303674176 607348352 1214696704 2429393408