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420026331 = 31937792521
BaseRepresentation
bin11001000010010…
…001011111011011
31002021100112210210
4121002101133123
51330011320311
6105402342203
713260110364
oct3102213733
91067315723
10420026331
111a6103aaa
12b87ba963
13690339ba
143dad8b6b
1526d1c3a6
hex190917db

420026331 has 32 divisors (see below), whose sum is σ = 613350400. Its totient is φ = 254741760.

The previous prime is 420026329. The next prime is 420026359. The reversal of 420026331 is 133620024.

It is a happy number.

It is not a de Polignac number, because 420026331 - 21 = 420026329 is a prime.

It is a super-2 number, since 2×4200263312 = 352844237466643122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420026298 and 420026307.

It is not an unprimeable number, because it can be changed into a prime (420026731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165351 + ... + 167871.

It is an arithmetic number, because the mean of its divisors is an integer number (19167200).

Almost surely, 2420026331 is an apocalyptic number.

420026331 is a deficient number, since it is larger than the sum of its proper divisors (193324069).

420026331 is a wasteful number, since it uses less digits than its factorization.

420026331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 420026331 is about 20494.5439324714. The cubic root of 420026331 is about 748.9028883550.

Adding to 420026331 its reverse (133620024), we get a palindrome (553646355).

The spelling of 420026331 in words is "four hundred twenty million, twenty-six thousand, three hundred thirty-one".

Divisors: 1 3 19 37 57 79 111 237 703 1501 2109 2521 2923 4503 7563 8769 47899 55537 93277 143697 166611 199159 279831 597477 1772263 3784021 5316789 7368883 11352063 22106649 140008777 420026331