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441425504 = 251347107211
BaseRepresentation
bin11010010011111…
…001111001100000
31010202121201221202
4122103321321200
51401001104004
6111445140332
713640024552
oct3223717140
91122551852
10441425504
1120719a573
121039ba6a8
13705b6c30
14428a94d2
1528b47b1e
hex1a4f9e60

441425504 has 96 divisors (see below), whose sum is σ = 969325056. Its totient is φ = 196600320.

The previous prime is 441425489. The next prime is 441425533. The reversal of 441425504 is 405524144.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091959 + ... + 2092169.

It is an arithmetic number, because the mean of its divisors is an integer number (10097136).

Almost surely, 2441425504 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 441425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484662528).

441425504 is an abundant number, since it is smaller than the sum of its proper divisors (527899552).

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

441425504 is a wasteful number, since it uses less digits than its factorization.

441425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 441425504 is about 21010.1286050324. The cubic root of 441425504 is about 761.4109891280.

Adding to 441425504 its reverse (405524144), we get a palindrome (846949648).

The spelling of 441425504 in words is "four hundred forty-one million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 107 188 208 211 214 376 416 422 428 611 752 844 856 1222 1391 1504 1688 1712 2444 2743 2782 3376 3424 4888 5029 5486 5564 6752 9776 9917 10058 10972 11128 19552 19834 20116 21944 22256 22577 39668 40232 43888 44512 45154 65377 79336 80464 87776 90308 128921 130754 158672 160928 180616 257842 261508 293501 317344 361232 515684 523016 587002 722464 1031368 1046032 1061119 1174004 2062736 2092064 2122238 2348008 4125472 4244476 4696016 8488952 9392032 13794547 16977904 27589094 33955808 55178188 110356376 220712752 441425504