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404226544 = 24174167541
BaseRepresentation
bin11000000110000…
…000000111110000
31001011121211120111
4120012000013300
51311440222134
6104035551104
713005604021
oct3006000760
91034554514
10404226544
111981a2427
12b345b494
1365991307
143b984c48
152574ac64
hex181801f0

404226544 has 80 divisors (see below), whose sum is σ = 863757216. Its totient is φ = 182476800.

The previous prime is 404226521. The next prime is 404226553. The reversal of 404226544 is 445622404.

It is a happy number.

It is a zygodrome in base 2.

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, 746914 + ... + 747454.

Almost surely, 2404226544 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 404226544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431878608).

404226544 is an abundant number, since it is smaller than the sum of its proper divisors (459530672).

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

404226544 is a wasteful number, since it uses less digits than its factorization.

404226544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 404226544 is about 20105.3859450646. The cubic root of 404226544 is about 739.3923328882.

Adding to 404226544 its reverse (445622404), we get a palindrome (849848948).

The spelling of 404226544 in words is "four hundred four million, two hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 41 67 68 82 134 136 164 268 272 328 536 541 656 697 1072 1082 1139 1394 2164 2278 2747 2788 4328 4556 5494 5576 8656 9112 9197 10988 11152 18224 18394 21976 22181 36247 36788 43952 44362 46699 72494 73576 88724 93398 144988 147152 177448 186796 289976 354896 373592 377077 579952 616199 747184 754154 1232398 1486127 1508308 2464796 2972254 3016616 4929592 5944508 6033232 9859184 11889016 23778032 25264159 50528318 101056636 202113272 404226544