Search a number
-
+
1052642272 = 251128310567
BaseRepresentation
bin111110101111100…
…000101111100000
32201100201202201211
4332233200233200
54123434023042
6252241435504
735041211623
oct7657405740
92640652654
101052642272
114a02097a0
1225463bb94
1313a10c166
149db31dba
156262e017
hex3ebe0be0

1052642272 has 48 divisors (see below), whose sum is σ = 2268991872. Its totient is φ = 476737920.

The previous prime is 1052642263. The next prime is 1052642281. The reversal of 1052642272 is 2722462501.

It is an interprime number because it is at equal distance from previous prime (1052642263) and next prime (1052642281).

It is a super-2 number, since 2×10526422722 = 2216111505602643968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94333 + ... + 104899.

It is an arithmetic number, because the mean of its divisors is an integer number (47270664).

Almost surely, 21052642272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134495936).

1052642272 is an abundant number, since it is smaller than the sum of its proper divisors (1216349600).

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

1052642272 is a wasteful number, since it uses less digits than its factorization.

1052642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 1052642272 is about 32444.4490167424. The cubic root of 1052642272 is about 1017.2482127059.

The spelling of 1052642272 in words is "one billion, fifty-two million, six hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 283 352 566 1132 2264 3113 4528 6226 9056 10567 12452 21134 24904 42268 49808 84536 99616 116237 169072 232474 338144 464948 929896 1859792 2990461 3719584 5980922 11961844 23923688 32895071 47847376 65790142 95694752 131580284 263160568 526321136 1052642272