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241596416 = 211232223
BaseRepresentation
bin11100110011001…
…11100000000000
3121211121100222102
432121213200000
5443322041131
635550125532
75662351505
oct1631474000
9554540872
10241596416
11114413a66
1268ab08a8
133b08c679
142412d4ac
15163241cb
hexe667800

241596416 has 72 divisors (see below), whose sum is σ = 507255840. Its totient is φ = 115027968.

The previous prime is 241596409. The next prime is 241596427. The reversal of 241596416 is 614695142.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 241596416.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1083281 + ... + 1083503.

It is an arithmetic number, because the mean of its divisors is an integer number (7045220).

Almost surely, 2241596416 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 241596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253627920).

241596416 is an abundant number, since it is smaller than the sum of its proper divisors (265659424).

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

241596416 is an equidigital number, since it uses as much as digits as its factorization.

241596416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 248 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 241596416 is about 15543.3720923100. The cubic root of 241596416 is about 622.8213560948.

The spelling of 241596416 in words is "two hundred forty-one million, five hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 223 256 368 446 512 529 736 892 1024 1058 1472 1784 2048 2116 2944 3568 4232 5129 5888 7136 8464 10258 11776 14272 16928 20516 23552 28544 33856 41032 47104 57088 67712 82064 114176 117967 135424 164128 228352 235934 270848 328256 456704 471868 541696 656512 943736 1083392 1313024 1887472 2626048 3774944 5252096 7549888 10504192 15099776 30199552 60399104 120798208 241596416