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241352856 = 233231711523
BaseRepresentation
bin11100110001011…
…00000010011000
3121211010222212200
432120230002120
5443241242411
635541010200
75660315433
oct1630540230
9554128780
10241352856
11114267a78
12689b3960
133b005854
14240a881a
15162c6e56
hexe62c098

241352856 has 96 divisors (see below), whose sum is σ = 684702720. Its totient is φ = 76708800.

The previous prime is 241352833. The next prime is 241352857. The reversal of 241352856 is 658253142.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241352856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241352857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157711 + ... + 159233.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2241352856 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 241352856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

241352856 is an abundant number, since it is smaller than the sum of its proper divisors (443349864).

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

241352856 is a wasteful number, since it uses less digits than its factorization.

241352856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1630 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 241352856 is about 15535.5352659636. The cubic root of 241352856 is about 622.6119912701.

The spelling of 241352856 in words is "two hundred forty-one million, three hundred fifty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 71 72 93 124 142 186 213 248 279 284 372 426 558 568 639 744 852 1116 1278 1523 1704 2201 2232 2556 3046 4402 4569 5112 6092 6603 8804 9138 12184 13206 13707 17608 18276 19809 26412 27414 36552 39618 47213 52824 54828 79236 94426 108133 109656 141639 158472 188852 216266 283278 324399 377704 424917 432532 566556 648798 849834 865064 973197 1133112 1297596 1699668 1946394 2595192 3352123 3399336 3892788 6704246 7785576 10056369 13408492 20112738 26816984 30169107 40225476 60338214 80450952 120676428 241352856