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424060992 = 26324611597
BaseRepresentation
bin11001010001101…
…010100001000000
31002112221112022200
4121101222201000
51332024422432
6110025033200
713336313265
oct3121524100
91075845280
10424060992
111a840a333
12ba025800
1369b17284
144046926c
1527367a7c
hex1946a840

424060992 has 84 divisors (see below), whose sum is σ = 1218893676. Its totient is φ = 140958720.

The previous prime is 424060927. The next prime is 424060999. The reversal of 424060992 is 299060424.

424060992 is a `hidden beast` number, since 4 + 2 + 40 + 609 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109495296 + 314565696 = 10464^2 + 17736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (424060999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264738 + ... + 266334.

It is an arithmetic number, because the mean of its divisors is an integer number (14510639).

Almost surely, 2424060992 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 424060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609446838).

424060992 is an abundant number, since it is smaller than the sum of its proper divisors (794832684).

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

424060992 is a wasteful number, since it uses less digits than its factorization.

424060992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 424060992 is about 20592.7412454000. The cubic root of 424060992 is about 751.2931716612.

The spelling of 424060992 in words is "four hundred twenty-four million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 461 576 922 1383 1597 1844 2766 3194 3688 4149 4791 5532 6388 7376 8298 9582 11064 12776 14373 14752 16596 19164 22128 25552 28746 29504 33192 38328 44256 51104 57492 66384 76656 88512 102208 114984 132768 153312 229968 265536 306624 459936 736217 919872 1472434 2208651 2944868 4417302 5889736 6625953 8834604 11779472 13251906 17669208 23558944 26503812 35338416 47117888 53007624 70676832 106015248 141353664 212030496 424060992