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241629072 = 24341592081
BaseRepresentation
bin11100110011011…
…11011110010000
3121211200000202220
432121233132100
5443324112242
635550541040
75662545636
oct1631573620
9554600686
10241629072
11114436553
1268b07780
133b0a14a9
142413b356
151632dbec
hexe66f790

241629072 has 80 divisors (see below), whose sum is σ = 650583360. Its totient is φ = 77209600.

The previous prime is 241629071. The next prime is 241629077. The reversal of 241629072 is 270926142.

It is not an unprimeable number, because it can be changed into a prime (241629071) 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, 115072 + ... + 117152.

It is an arithmetic number, because the mean of its divisors is an integer number (8132292).

Almost surely, 2241629072 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 241629072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325291680).

241629072 is an abundant number, since it is smaller than the sum of its proper divisors (408954288).

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

241629072 is a wasteful number, since it uses less digits than its factorization.

241629072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 241629072 is about 15544.4225367171. The cubic root of 241629072 is about 622.8494165798.

The spelling of 241629072 in words is "two hundred forty-one million, six hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 59 82 118 123 164 177 236 246 328 354 472 492 656 708 944 984 1416 1968 2081 2419 2832 4162 4838 6243 7257 8324 9676 12486 14514 16648 19352 24972 29028 33296 38704 49944 58056 85321 99888 116112 122779 170642 245558 255963 341284 368337 491116 511926 682568 736674 982232 1023852 1365136 1473348 1964464 2047704 2946696 4095408 5033939 5893392 10067878 15101817 20135756 30203634 40271512 60407268 80543024 120814536 241629072