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4010521424 = 247213230269
BaseRepresentation
bin1110111100001011…
…1011001101010000
3101100111111121010112
43233002323031100
531203143141144
61501543220452
7201245604200
oct35702731520
911314447115
104010521424
111778920118
1293b147728
134bbb66700
142a08d2400
1518715299e
hexef0bb350

4010521424 has 90 divisors (see below), whose sum is σ = 9788137470. Its totient is φ = 1586527488.

The previous prime is 4010521397. The next prime is 4010521439. The reversal of 4010521424 is 4241250104.

It can be written as a sum of positive squares in 3 ways, for example, as 129231424 + 3881290000 = 11368^2 + 62300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4010521424.

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 17 ways as a sum of consecutive naturals, for example, 117362 + ... + 147630.

It is an arithmetic number, because the mean of its divisors is an integer number (108757083).

Almost surely, 24010521424 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 4010521424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894068735).

4010521424 is an abundant number, since it is smaller than the sum of its proper divisors (5777616046).

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

4010521424 is a wasteful number, since it uses less digits than its factorization.

4010521424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30317 (or 30291 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4010521424 is about 63328.6777376569. The cubic root of 4010521424 is about 1588.7916433903.

Adding to 4010521424 its reverse (4241250104), we get a palindrome (8251771528).

The spelling of 4010521424 in words is "four billion, ten million, five hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 16562 18928 30269 33124 60538 66248 121076 132496 211883 242152 393497 423766 484304 786994 847532 1483181 1573988 1695064 2754479 2966362 3147976 3390128 5115461 5508958 5932724 6295952 10230922 11017916 11865448 19281353 20461844 22035832 23730896 35808227 38562706 40923688 44071664 71616454 77125412 81847376 143232908 154250824 250657589 286465816 308501648 501315178 572931632 1002630356 2005260712 4010521424