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241061616 = 2433593941
BaseRepresentation
bin11100101111001…
…00111011110000
3121210121012101000
432113210323300
5443202432431
635530442000
75654663355
oct1627447360
9553535330
10241061616
11114089184
1268893300
133ac33113
142403062c
151626a9e6
hexe5e4ef0

241061616 has 80 divisors (see below), whose sum is σ = 693839520. Its totient is φ = 80133120.

The previous prime is 241061603. The next prime is 241061617. The reversal of 241061616 is 616160142.

241061616 is a `hidden beast` number, since 2 + 41 + 0 + 6 + 1 + 616 = 666.

It is a super-2 number, since 2×2410616162 = 116221405417062912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241061616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241061617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255706 + ... + 256646.

It is an arithmetic number, because the mean of its divisors is an integer number (8672994).

Almost surely, 2241061616 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 241061616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346919760).

241061616 is an abundant number, since it is smaller than the sum of its proper divisors (452777904).

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

241061616 is a wasteful number, since it uses less digits than its factorization.

241061616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 241061616 is about 15526.1590871664. The cubic root of 241061616 is about 622.3614555953.

The spelling of 241061616 in words is "two hundred forty-one million, sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 593 941 1186 1779 1882 2372 2823 3558 3764 4744 5337 5646 7116 7528 8469 9488 10674 11292 14232 15056 16011 16938 21348 22584 25407 28464 32022 33876 42696 45168 50814 64044 67752 85392 101628 128088 135504 203256 256176 406512 558013 1116026 1674039 2232052 3348078 4464104 5022117 6696156 8928208 10044234 13392312 15066351 20088468 26784624 30132702 40176936 60265404 80353872 120530808 241061616