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412035426 = 2321117167733
BaseRepresentation
bin11000100011110…
…010100101100010
31001201022120100100
4120203302211202
51320440113201
6104515203230
713132146315
oct3043624542
91051276310
10412035426
111a1646350
12b5ba6516
136749675a
143ca1897c
152628e886
hex188f2962

412035426 has 96 divisors (see below), whose sum is σ = 1038780288. Its totient is φ = 116651520.

The previous prime is 412035397. The next prime is 412035427. The reversal of 412035426 is 624530214.

It is a self number, because there is not a number n which added to its sum of digits gives 412035426.

It is not an unprimeable number, because it can be changed into a prime (412035427) 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 47 ways as a sum of consecutive naturals, for example, 561756 + ... + 562488.

It is an arithmetic number, because the mean of its divisors is an integer number (10820628).

Almost surely, 2412035426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412035426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519390144).

412035426 is an abundant number, since it is smaller than the sum of its proper divisors (626744862).

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

412035426 is a wasteful number, since it uses less digits than its factorization.

412035426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412035426 is about 20298.6557683015. The cubic root of 412035426 is about 744.1232127710.

The spelling of 412035426 in words is "four hundred twelve million, thirty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 167 187 198 306 334 374 501 561 733 1002 1122 1466 1503 1683 1837 2199 2839 3006 3366 3674 4398 5511 5678 6597 8063 8517 11022 12461 13194 16126 16533 17034 24189 24922 25551 31229 33066 37383 48378 51102 62458 72567 74766 93687 112149 122411 137071 145134 187374 224298 244822 274142 281061 367233 411213 562122 734466 822426 1101699 1233639 1346521 2080987 2203398 2467278 2693042 4039563 4161974 6242961 8079126 12118689 12485922 18728883 22890857 24237378 37457766 45781714 68672571 137345142 206017713 412035426