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441228920 = 23511291163
BaseRepresentation
bin11010010011001…
…001111001111000
31010202020202021212
4122103021321320
51400423311140
6111441022252
713635245456
oct3223117170
91122222255
10441228920
11207075900
12103924988
1370548602
14428579d6
1528b09765
hex1a4c9e78

441228920 has 48 divisors (see below), whose sum is σ = 1091233080. Its totient is φ = 160445120.

The previous prime is 441228917. The next prime is 441228961. The reversal of 441228920 is 29822144.

It is a happy number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40742 + ... + 50421.

Almost surely, 2441228920 is an apocalyptic number.

441228920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441228920 is an abundant number, since it is smaller than the sum of its proper divisors (650004160).

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

441228920 is a wasteful number, since it uses less digits than its factorization.

441228920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91196 (or 91181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 441228920 is about 21005.4497690480. The cubic root of 441228920 is about 761.2979436713.

The spelling of 441228920 in words is "four hundred forty-one million, two hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 91163 182326 364652 455815 729304 911630 1002793 1823260 2005586 3646520 4011172 5013965 8022344 10027930 11030723 20055860 22061446 40111720 44122892 55153615 88245784 110307230 220614460 441228920