Search a number
-
+
424810872 = 23331999883
BaseRepresentation
bin11001010100100…
…001100101111000
31002121100121222000
4121110201211320
51332222421442
6110053101000
713345555443
oct3124414570
91077317860
10424810872
111a8881772
12ba327760
136a01a6a5
14405c265a
1527464d4c
hex19521978

424810872 has 64 divisors (see below), whose sum is σ = 1186080000. Its totient is φ = 140877792.

The previous prime is 424810843. The next prime is 424810913. The reversal of 424810872 is 278018424.

It is a super-3 number, since 3×4248108723 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38043 + ... + 47925.

It is an arithmetic number, because the mean of its divisors is an integer number (18532500).

Almost surely, 2424810872 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 424810872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593040000).

424810872 is an abundant number, since it is smaller than the sum of its proper divisors (761269128).

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

424810872 is a wasteful number, since it uses less digits than its factorization.

424810872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 424810872 is about 20610.9405898906. The cubic root of 424810872 is about 751.7357557702.

The spelling of 424810872 in words is "four hundred twenty-four million, eight hundred ten thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 9883 10746 14328 19766 21492 29649 39532 42984 59298 79064 88947 118596 177894 237192 266841 355788 533682 711576 1067364 1966717 2134728 3933434 5900151 7866868 11800302 15733736 17700453 23600604 35400906 47201208 53101359 70801812 106202718 141603624 212405436 424810872