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241916952 = 23337893061
BaseRepresentation
bin11100110101101…
…01110000011000
3121212012122200010
432122311300120
5443412320302
640001041520
75665155144
oct1632656030
9555178603
10241916952
11114612872
12690262a0
133b172534
14241b4224
151638916c
hexe6b5c18

241916952 has 64 divisors (see below), whose sum is σ = 628322400. Its totient is φ = 77552640.

The previous prime is 241916947. The next prime is 241916959. The reversal of 241916952 is 259619142.

241916952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241916952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241916959) 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, 77502 + ... + 80562.

Almost surely, 2241916952 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 241916952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314161200).

241916952 is an abundant number, since it is smaller than the sum of its proper divisors (386405448).

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

241916952 is a wasteful number, since it uses less digits than its factorization.

241916952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 241916952 is about 15553.6796932430. The cubic root of 241916952 is about 623.0966753590.

The spelling of 241916952 in words is "two hundred forty-one million, nine hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 2136 3061 3293 6122 6586 9183 9879 12244 13172 18366 19758 24488 26344 36732 39516 73464 79032 113257 226514 272429 339771 453028 544858 679542 817287 906056 1089716 1359084 1634574 2179432 2718168 3269148 6538296 10079873 20159746 30239619 40319492 60479238 80638984 120958476 241916952