Search a number
-
+
1028827272 = 233113897073
BaseRepresentation
bin111101010100101…
…010100010001000
32122200220211200210
4331110222202020
54101334433042
6250031201120
734331613264
oct7524524210
92580824623
101028827272
11488823180
122486761a0
131351c1445
149a8d30a4
15604c7a9c
hex3d52a888

1028827272 has 32 divisors (see below), whose sum is σ = 2805893280. Its totient is φ = 311765760.

The previous prime is 1028827271. The next prime is 1028827307. The reversal of 1028827272 is 2727288201.

It is a super-2 number, since 2×10288272722 = 2116971111221923968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1028827272.

It is not an unprimeable number, because it can be changed into a prime (1028827271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1948273 + ... + 1948800.

It is an arithmetic number, because the mean of its divisors is an integer number (87684165).

Almost surely, 21028827272 is an apocalyptic number.

1028827272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1028827272 is an abundant number, since it is smaller than the sum of its proper divisors (1777066008).

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

1028827272 is a wasteful number, since it uses less digits than its factorization.

1028827272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897093 (or 3897089 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1028827272 is about 32075.3374417168. The cubic root of 1028827272 is about 1009.5182069648.

The spelling of 1028827272 in words is "one billion, twenty-eight million, eight hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3897073 7794146 11691219 15588292 23382438 31176584 42867803 46764876 85735606 93529752 128603409 171471212 257206818 342942424 514413636 1028827272