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424713528 = 2332371311217
BaseRepresentation
bin11001010100001…
…001110100111000
31002121011200102200
4121110021310320
51332211313103
6110051030200
713345001601
oct3124116470
91077150380
10424713528
111a8815618
12ba29b360
1369cb52a5
1440598da8
15274460a3
hex19509d38

424713528 has 96 divisors (see below), whose sum is σ = 1191350160. Its totient is φ = 136581120.

The previous prime is 424713511. The next prime is 424713529. The reversal of 424713528 is 825317424.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 424713492 and 424713501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424713529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 348376 + ... + 349592.

Almost surely, 2424713528 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 424713528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595675080).

424713528 is an abundant number, since it is smaller than the sum of its proper divisors (766636632).

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

424713528 is a wasteful number, since it uses less digits than its factorization.

424713528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1390 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 424713528 is about 20608.5789903137. The cubic root of 424713528 is about 751.6783321335.

The spelling of 424713528 in words is "four hundred twenty-four million, seven hundred thirteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1217 1332 1572 2358 2434 2664 3144 3651 4716 4847 4868 7302 9432 9694 9736 10953 14541 14604 19388 21906 29082 29208 38776 43623 43812 45029 58164 87246 87624 90058 116328 135087 159427 174492 180116 270174 318854 348984 360232 405261 478281 540348 637708 810522 956562 1080696 1275416 1434843 1621044 1913124 2869686 3242088 3826248 5739372 5898799 11478744 11797598 17696397 23595196 35392794 47190392 53089191 70785588 106178382 141571176 212356764 424713528