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441295950 = 235273191211
BaseRepresentation
bin11010010011011…
…010010001001110
31010202101011020110
4122103122101032
51400432432300
6111442300450
713635645054
oct3223322116
91122334213
10441295950
112071111a7
12103957726
137056cc84
14428741d4
1528b1e550
hex1a4da44e

441295950 has 96 divisors (see below), whose sum is σ = 1120499712. Its totient is φ = 114912000.

The previous prime is 441295903. The next prime is 441295991. The reversal of 441295950 is 59592144.

It is a junction number, because it is equal to n+sod(n) for n = 441295899 and 441295908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2091345 + ... + 2091555.

It is an arithmetic number, because the mean of its divisors is an integer number (11671872).

Almost surely, 2441295950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441295950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560249856).

441295950 is an abundant number, since it is smaller than the sum of its proper divisors (679203762).

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

441295950 is a wasteful number, since it uses less digits than its factorization.

441295950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 441295950 is about 21007.0452467738. The cubic root of 441295950 is about 761.3364929859.

The spelling of 441295950 in words is "four hundred forty-one million, two hundred ninety-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 191 211 219 365 382 422 438 573 633 730 955 1055 1095 1146 1266 1825 1910 2110 2190 2865 3165 3650 4775 5275 5475 5730 6330 9550 10550 10950 13943 14325 15403 15825 27886 28650 30806 31650 40301 41829 46209 69715 77015 80602 83658 92418 120903 139430 154030 201505 209145 231045 241806 348575 385075 403010 418290 462090 604515 697150 770150 1007525 1045725 1155225 1209030 2015050 2091450 2310450 2941973 3022575 5883946 6045150 8825919 14709865 17651838 29419730 44129595 73549325 88259190 147098650 220647975 441295950