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420429742 = 22337337733
BaseRepresentation
bin11001000011110…
…011111110101110
31002022010001011221
4121003303332232
51330112222432
6105415133554
713263410455
oct3103637656
91068101157
10420429742
111a635a0a7
12b89742ba
13691454c5
143dba1b9c
1526d9bb97
hex190f3fae

420429742 has 32 divisors (see below), whose sum is σ = 678779712. Its totient is φ = 194793984.

The previous prime is 420429731. The next prime is 420429743. The reversal of 420429742 is 247924024.

It is a happy number.

It is a super-2 number, since 2×4204297422 = 353522335916373128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420429698 and 420429707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420429743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573208 + ... + 573940.

It is an arithmetic number, because the mean of its divisors is an integer number (21211866).

Almost surely, 2420429742 is an apocalyptic number.

420429742 is a deficient number, since it is larger than the sum of its proper divisors (258349970).

420429742 is a wasteful number, since it uses less digits than its factorization.

420429742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 420429742 is about 20504.3834825629. The cubic root of 420429742 is about 749.1425709422.

The spelling of 420429742 in words is "four hundred twenty million, four hundred twenty-nine thousand, seven hundred forty-two".

Divisors: 1 2 23 37 46 74 337 674 733 851 1466 1702 7751 12469 15502 16859 24938 27121 33718 54242 247021 286787 494042 573574 623783 1247566 5681483 9139777 11362966 18279554 210214871 420429742