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424072038 = 231321773337
BaseRepresentation
bin11001010001101…
…101001101100110
31002112222002110210
4121101231031212
51332030301123
6110025200250
713336360425
oct3121551546
91075862423
10424072038
111a8417665
12ba030086
1369b1c300
144046d2bc
152736ae93
hex1946d366

424072038 has 96 divisors (see below), whose sum is σ = 988674336. Its totient is φ = 120766464.

The previous prime is 424072031. The next prime is 424072049. The reversal of 424072038 is 830270424.

It is a junction number, because it is equal to n+sod(n) for n = 424071996 and 424072014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424072031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258206 + ... + 1258542.

It is an arithmetic number, because the mean of its divisors is an integer number (10298691).

Almost surely, 2424072038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424072038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494337168).

424072038 is an abundant number, since it is smaller than the sum of its proper divisors (564602298).

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

424072038 is a wasteful number, since it uses less digits than its factorization.

424072038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 424072038 is about 20593.0094449549. The cubic root of 424072038 is about 751.2996948678.

The spelling of 424072038 in words is "four hundred twenty-four million, seventy-two thousand, thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 73 78 102 146 169 219 221 337 338 438 442 507 663 674 949 1011 1014 1241 1326 1898 2022 2482 2847 2873 3723 4381 5694 5729 5746 7446 8619 8762 11458 12337 13143 16133 17187 17238 24601 24674 26286 32266 34374 37011 48399 49202 56953 73803 74022 74477 96798 113906 147606 148954 170859 209729 223431 319813 341718 418217 419458 446862 629187 639626 836434 959439 968201 1254651 1258374 1918878 1936402 2509302 2904603 4157569 5436821 5809206 8315138 10873642 12472707 16310463 24945414 32620926 70678673 141357346 212036019 424072038