Search a number
-
+
1024192152 = 233234940759
BaseRepresentation
bin111101000010111…
…110111010011000
32122101012100111200
4331002332322120
54044143122102
6245343554200
734244326644
oct7502767230
92571170450
101024192152
114861477a5
12246bbb960
1313425a779
149a047c24
155edae51c
hex3d0bee98

1024192152 has 48 divisors (see below), whose sum is σ = 2781870000. Its totient is φ = 340410816.

The previous prime is 1024192097. The next prime is 1024192187. The reversal of 1024192152 is 2512914201.

It is a super-2 number, since 2×10241921522 = 2097939128436782208, 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 11 ways as a sum of consecutive naturals, for example, 4749 + ... + 45507.

It is an arithmetic number, because the mean of its divisors is an integer number (57955625).

Almost surely, 21024192152 is an apocalyptic number.

1024192152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024192152 is an abundant number, since it is smaller than the sum of its proper divisors (1757677848).

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

1024192152 is a wasteful number, since it uses less digits than its factorization.

1024192152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120 (or 41113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1024192152 is about 32003.0022341655. The cubic root of 1024192152 is about 1007.9998818972. Note that the first 3 decimals are identical.

The spelling of 1024192152 in words is "one billion, twenty-four million, one hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 698 1047 1396 2094 2792 3141 4188 6282 8376 12564 25128 40759 81518 122277 163036 244554 326072 366831 489108 733662 978216 1467324 2934648 14224891 28449782 42674673 56899564 85349346 113799128 128024019 170698692 256048038 341397384 512096076 1024192152