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412142526 = 23317795683
BaseRepresentation
bin11000100100001…
…100101110111110
31001201112000021000
4120210030232332
51321002030101
6104521351130
713133103465
oct3044145676
91051460230
10412142526
111a1709864
12b60384a6
1367503423
143ca459dc
15262b1486
hex1890cbbe

412142526 has 64 divisors (see below), whose sum is σ = 982195200. Its totient is φ = 127640448.

The previous prime is 412142513. The next prime is 412142539. The reversal of 412142526 is 625241214.

It is an interprime number because it is at equal distance from previous prime (412142513) and next prime (412142539).

It is a super-2 number, since 2×4121425262 = 339722923475321352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 412142526.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69681 + ... + 75363.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 2412142526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412142526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491097600).

412142526 is an abundant number, since it is smaller than the sum of its proper divisors (570052674).

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

412142526 is a wasteful number, since it uses less digits than its factorization.

412142526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5784 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 412142526 is about 20301.2937026191. The cubic root of 412142526 is about 744.1876802796.

The spelling of 412142526 in words is "four hundred twelve million, one hundred forty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 2133 2686 4029 4266 5683 8058 11366 12087 17049 24174 34098 36261 51147 72522 96611 102294 153441 193222 289833 306882 448957 579666 869499 897914 1346871 1738998 2608497 2693742 4040613 5216994 7632269 8081226 12121839 15264538 22896807 24243678 45793614 68690421 137380842 206071263 412142526