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441403424 = 25711359499
BaseRepresentation
bin11010010011110…
…100100000100000
31010202120121122222
4122103310200200
51400444402144
6111444450212
713636603310
oct3223644040
91122517588
10441403424
11207184a20
121039a9968
13705a9b77
14428a1440
1528b412ee
hex1a4f4820

441403424 has 96 divisors (see below), whose sum is σ = 1088640000. Its totient is φ = 171152640.

The previous prime is 441403423. The next prime is 441403427. The reversal of 441403424 is 424304144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441403393 and 441403402.

It is not an unprimeable number, because it can be changed into a prime (441403423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884327 + ... + 884825.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2441403424 is an apocalyptic number.

441403424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320000).

441403424 is an abundant number, since it is smaller than the sum of its proper divisors (647236576).

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

441403424 is a wasteful number, since it uses less digits than its factorization.

441403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 441403424 is about 21009.6031376130. The cubic root of 441403424 is about 761.3982937167.

Adding to 441403424 its reverse (424304144), we get a palindrome (865707568).

The spelling of 441403424 in words is "four hundred forty-one million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 359 499 616 718 998 1232 1436 1996 2464 2513 2872 3493 3949 3992 5026 5489 5744 6986 7898 7984 10052 10978 11488 13972 15796 15968 20104 21956 27643 27944 31592 38423 40208 43912 55286 55888 63184 76846 80416 87824 110572 111776 126368 153692 175648 179141 221144 307384 358282 442288 614768 716564 884576 1229536 1253987 1433128 1970551 2507974 2866256 3941102 5015948 5732512 7882204 10031896 13793857 15764408 20063792 27587714 31528816 40127584 55175428 63057632 110350856 220701712 441403424