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241355052 = 223417291511
BaseRepresentation
bin11100110001011…
…00100100101100
3121211011002220000
432120230210230
5443241330202
635541024300
75660325021
oct1630544454
9554132800
10241355052
11114269694
12689b5090
133b006853
14240a9548
15162c791c
hexe62c92c

241355052 has 120 divisors (see below), whose sum is σ = 691558560. Its totient is φ = 73059840.

The previous prime is 241355041. The next prime is 241355053. The reversal of 241355052 is 250553142.

It is a happy number.

241355052 is a `hidden beast` number, since 24 + 135 + 505 + 2 = 666.

It is a super-2 number, since 2×2413550522 = 116504522251845408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (241355053) 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 39 ways as a sum of consecutive naturals, for example, 158977 + ... + 160487.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2241355052 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 241355052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345779280).

241355052 is an abundant number, since it is smaller than the sum of its proper divisors (450203508).

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

241355052 is a wasteful number, since it uses less digits than its factorization.

241355052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 241355052 is about 15535.6059424794. The cubic root of 241355052 is about 622.6138795867.

The spelling of 241355052 in words is "two hundred forty-one million, three hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 81 87 102 108 116 153 162 174 204 261 306 324 348 459 493 522 612 783 918 986 1044 1377 1479 1511 1566 1836 1972 2349 2754 2958 3022 3132 4437 4533 4698 5508 5916 6044 8874 9066 9396 13311 13599 17748 18132 25687 26622 27198 39933 40797 43819 51374 53244 54396 77061 79866 81594 87638 102748 122391 131457 154122 159732 163188 175276 231183 244782 262914 308244 394371 462366 489564 525828 693549 744923 788742 924732 1183113 1387098 1489846 1577484 2080647 2234769 2366226 2774196 2979692 3549339 4161294 4469538 4732452 6704307 7098678 8322588 8939076 13408614 14197356 20112921 26817228 40225842 60338763 80451684 120677526 241355052