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1142525250 = 236536269
BaseRepresentation
bin100010000011001…
…1000110101000010
32221121212022000000
41010012120311002
54314441302000
6305212140430
740212206256
oct10406306502
92847768000
101142525250
11536a20149
1227a767716
1315291ca59
14aba4c266
156a486000
hex44198d42

1142525250 has 112 divisors (see below), whose sum is σ = 3207255480. Its totient is φ = 304624800.

The previous prime is 1142525249. The next prime is 1142525261. The reversal of 1142525250 is 525252411.

1142525250 is a `hidden beast` number, since 114 + 2 + 525 + 25 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242705241 + 899820009 = 15579^2 + 29997^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 55 ways as a sum of consecutive naturals, for example, 179116 + ... + 185384.

Almost surely, 21142525250 is an apocalyptic number.

1142525250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142525250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603627740).

1142525250 is an abundant number, since it is smaller than the sum of its proper divisors (2064730230).

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

1142525250 is an frugal number, since it uses more digits than its factorization.

1142525250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1142525250 is about 33801.2610711494. The cubic root of 1142525250 is about 1045.4146992317.

Adding to 1142525250 its reverse (525252411), we get a palindrome (1667777661).

The spelling of 1142525250 in words is "one billion, one hundred forty-two million, five hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 729 750 810 1125 1215 1350 1458 2025 2250 2430 3375 3645 4050 6075 6269 6750 7290 10125 12150 12538 18225 18807 20250 30375 31345 36450 37614 56421 60750 62690 91125 94035 112842 156725 169263 182250 188070 282105 313450 338526 470175 507789 564210 783625 846315 940350 1015578 1410525 1523367 1567250 1692630 2350875 2538945 2821050 3046734 4231575 4570101 4701750 5077890 7052625 7616835 8463150 9140202 12694725 14105250 15233670 21157875 22850505 25389450 38084175 42315750 45701010 63473625 76168350 114252525 126947250 190420875 228505050 380841750 571262625 1142525250