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441153426 = 237431371783
BaseRepresentation
bin11010010010110…
…111011110010010
31010202002220201210
4122102313132102
51400413402201
6111435240550
713634512410
oct3222673622
91122086653
10441153426
1120702410a
121038a9156
137052013c
14428382b0
1528ae21d6
hex1a4b7792

441153426 has 64 divisors (see below), whose sum is σ = 1039915008. Its totient is φ = 122145408.

The previous prime is 441153413. The next prime is 441153431. The reversal of 441153426 is 624351144.

It is a junction number, because it is equal to n+sod(n) for n = 441153393 and 441153402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246531 + ... + 248313.

It is an arithmetic number, because the mean of its divisors is an integer number (16248672).

Almost surely, 2441153426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441153426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519957504).

441153426 is an abundant number, since it is smaller than the sum of its proper divisors (598761582).

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

441153426 is a wasteful number, since it uses less digits than its factorization.

441153426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975.

The product of its digits is 11520, while the sum is 30.

The square root of 441153426 is about 21003.6526823312. The cubic root of 441153426 is about 761.2545219896.

The spelling of 441153426 in words is "four hundred forty-one million, one hundred fifty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 137 258 274 301 411 602 822 903 959 1783 1806 1918 2877 3566 5349 5754 5891 10698 11782 12481 17673 24962 35346 37443 41237 74886 76669 82474 123711 153338 230007 244271 247422 460014 488542 536683 732813 1073366 1465626 1610049 1709897 3220098 3419794 5129691 10259382 10503653 21007306 31510959 63021918 73525571 147051142 220576713 441153426