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5678452000 = 255313109201
BaseRepresentation
bin1010100100111011…
…00100110100100000
3112122202000020202001
411102131210310200
543112140431000
62335244533344
7260501021434
oct52235446440
915582006661
105678452000
11245437a041
121125851254
136c6595090
143bc22a9c4
152337be46a
hex152764d20

5678452000 has 96 divisors (see below), whose sum is σ = 15025321584. Its totient is φ = 2096640000.

The previous prime is 5678451953. The next prime is 5678452019. The reversal of 5678452000 is 2548765.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 180526096 + 5497925904 = 13436^2 + 74148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601 + ... + 106600.

Almost surely, 25678452000 is an apocalyptic number.

5678452000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5678452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512660792).

5678452000 is an abundant number, since it is smaller than the sum of its proper divisors (9346869584).

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

5678452000 is a wasteful number, since it uses less digits than its factorization.

5678452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109239 (or 109221 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 5678452000 is about 75355.5041121748. The cubic root of 5678452000 is about 1784.0621781837.

It can be divided in two parts, 567845 and 2000, that multiplied together give a square (1135690000 = 337002).

The spelling of 5678452000 in words is "five billion, six hundred seventy-eight million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 109201 218402 436804 546005 873608 1092010 1419613 1747216 2184020 2730025 2839226 3494432 4368040 5460050 5678452 7098065 8736080 10920100 11356904 13650125 14196130 17472160 21840200 22713808 27300250 28392260 35490325 43680400 45427616 54600500 56784520 70980650 87360800 109201000 113569040 141961300 177451625 218402000 227138080 283922600 354903250 436804000 567845200 709806500 1135690400 1419613000 2839226000 5678452000