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241627056 = 243114211087
BaseRepresentation
bin11100110011011…
…10111110110000
3121211122221000020
432121232332300
5443324031211
635550523440
75662540026
oct1631567660
9554587006
10241627056
11114434a90
1268b06580
133b0a05b8
142413a716
151632d306
hexe66efb0

241627056 has 80 divisors (see below), whose sum is σ = 683194368. Its totient is φ = 72979200.

The previous prime is 241627003. The next prime is 241627073. The reversal of 241627056 is 650726142.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 221745 + ... + 222831.

Almost surely, 2241627056 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 241627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341597184).

241627056 is an abundant number, since it is smaller than the sum of its proper divisors (441567312).

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

241627056 is a wasteful number, since it uses less digits than its factorization.

241627056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 241627056 is about 15544.3576901717. The cubic root of 241627056 is about 622.8476843546.

The spelling of 241627056 in words is "two hundred forty-one million, six hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 421 528 842 1087 1263 1684 2174 2526 3261 3368 4348 4631 5052 6522 6736 8696 9262 10104 11957 13044 13893 17392 18524 20208 23914 26088 27786 35871 37048 47828 52176 55572 71742 74096 95656 111144 143484 191312 222288 286968 457627 573936 915254 1372881 1830508 2745762 3661016 5033897 5491524 7322032 10067794 10983048 15101691 20135588 21966096 30203382 40271176 60406764 80542352 120813528 241627056