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424904445 = 32573153821
BaseRepresentation
bin11001010100111…
…000011011111101
31002121112101022200
4121110320123331
51332233420240
6110055102113
713346425320
oct3124703375
91077471280
10424904445
111a8935aa9
12ba371939
136a051164
14406087b7
1527482930
hex195386fd

424904445 has 96 divisors (see below), whose sum is σ = 886339584. Its totient is φ = 184204800.

The previous prime is 424904401. The next prime is 424904453. The reversal of 424904445 is 544409424.

It is a happy number.

It is not a de Polignac number, because 424904445 - 213 = 424896253 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517135 + ... + 517955.

It is an arithmetic number, because the mean of its divisors is an integer number (9232704).

Almost surely, 2424904445 is an apocalyptic number.

424904445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424904445 is an abundant number, since it is smaller than the sum of its proper divisors (461435139).

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

424904445 is a wasteful number, since it uses less digits than its factorization.

424904445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 424904445 is about 20613.2104486419. The cubic root of 424904445 is about 751.7909466095.

The spelling of 424904445 in words is "four hundred twenty-four million, nine hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 53 63 93 105 155 159 217 265 279 315 371 465 477 651 795 821 1085 1113 1395 1643 1855 1953 2385 2463 3255 3339 4105 4929 5565 5747 7389 8215 9765 11501 12315 14787 16695 17241 24645 25451 28735 34503 36945 43513 51723 57505 73935 76353 86205 103509 127255 130539 172515 178157 217565 229059 258615 304591 381765 391617 517545 534471 652695 890785 913773 1145295 1348903 1522955 1603413 1958085 2672355 2741319 4046709 4568865 6744515 8017065 9442321 12140127 13706595 20233545 28326963 47211605 60700635 84980889 141634815 424904445