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242553528 = 2334727639
BaseRepresentation
bin11100111010100…
…01001010111000
3121220101222220000
432131101022320
5444043203103
640022433000
76003446100
oct1635211270
9556358800
10242553528
11114a08068
1269292760
133b3361c9
14242dc200
1516462aa3
hexe7512b8

242553528 has 120 divisors (see below), whose sum is σ = 790396200. Its totient is φ = 69291936.

The previous prime is 242553527. The next prime is 242553533. The reversal of 242553528 is 825355242.

It is a happy number.

242553528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242553492 and 242553501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242553527) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27933 + ... + 35571.

It is an arithmetic number, because the mean of its divisors is an integer number (6586635).

Almost surely, 2242553528 is an apocalyptic number.

242553528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242553528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395198100).

242553528 is an abundant number, since it is smaller than the sum of its proper divisors (547842672).

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

242553528 is a wasteful number, since it uses less digits than its factorization.

242553528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7651 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 242553528 is about 15574.1300880659. The cubic root of 242553528 is about 623.6427318775.

It can be divided in two parts, 24 and 2553528, that added together give a palindrome (2553552).

The spelling of 242553528 in words is "two hundred forty-two million, five hundred fifty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7639 7938 10584 15278 15876 22917 30556 31752 45834 53473 61112 68751 91668 106946 137502 160419 183336 206253 213892 275004 320838 374311 412506 427784 481257 550008 618759 641676 748622 825012 962514 1122933 1237518 1283352 1443771 1497244 1650024 1925028 2245866 2475036 2887542 2994488 3368799 3850056 4331313 4491732 4950072 5775084 6737598 8662626 8983464 10106397 11550168 13475196 17325252 20212794 26950392 30319191 34650504 40425588 60638382 80851176 121276764 242553528