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441693828 = 223231894447
BaseRepresentation
bin11010010100111…
…011011010000100
31010210010101000200
4122110323122010
51401033200303
6111455010500
713642223052
oct3224733204
91123111020
10441693828
11207363124
12103b09a30
137067c0c4
14429391d2
1528b9c3a3
hex1a53b684

441693828 has 72 divisors (see below), whose sum is σ = 1165731840. Its totient is φ = 140849280.

The previous prime is 441693793. The next prime is 441693829. The reversal of 441693828 is 828396144.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (441693829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97101 + ... + 101547.

It is an arithmetic number, because the mean of its divisors is an integer number (16190720).

Almost surely, 2441693828 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 441693828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582865920).

441693828 is an abundant number, since it is smaller than the sum of its proper divisors (724038012).

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

441693828 is a wasteful number, since it uses less digits than its factorization.

441693828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4572 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 441693828 is about 21016.5132217502. The cubic root of 441693828 is about 761.5652344523.

The spelling of 441693828 in words is "four hundred forty-one million, six hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 801 1068 1116 1602 2759 3204 4447 5518 8277 8894 11036 13341 16554 17788 24831 26682 33108 40023 49662 53364 80046 99324 137857 160092 275714 395783 413571 551428 791566 827142 1187349 1240713 1583132 1654284 2374698 2481426 3562047 4749396 4962852 7124094 12269273 14248188 24538546 36807819 49077092 73615638 110423457 147231276 220846914 441693828