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1428259056 = 24372607253
BaseRepresentation
bin101010100100001…
…1000000011110000
310200112112002002120
41111020120003300
510411113242211
6353420314240
750252000400
oct12510300360
93615462076
101428259056
11673240194
1233a3a2980
13199b94203
14d798a800
15855c7d06
hex552180f0

1428259056 has 60 divisors (see below), whose sum is σ = 4292071272. Its totient is φ = 408073344.

The previous prime is 1428259009. The next prime is 1428259057. The reversal of 1428259056 is 6509528241.

It is a super-2 number, since 2×14282590562 = 4079847862092022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1428258999 and 1428259017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428259057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 301275 + ... + 305978.

Almost surely, 21428259056 is an apocalyptic number.

1428259056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1428259056 is an abundant number, since it is smaller than the sum of its proper divisors (2863812216).

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

1428259056 is a wasteful number, since it uses less digits than its factorization.

1428259056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607278 (or 607265 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1428259056 is about 37792.3147743030. The cubic root of 1428259056 is about 1126.1657857055.

The spelling of 1428259056 in words is "one billion, four hundred twenty-eight million, two hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 607253 1214506 1821759 2429012 3643518 4250771 4858024 7287036 8501542 9716048 12752313 14574072 17003084 25504626 29148144 29755397 34006168 51009252 59510794 68012336 89266191 102018504 119021588 178532382 204037008 238043176 357064764 476086352 714129528 1428259056