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42769026 = 2332931881
BaseRepresentation
bin1010001100100…
…1101010000010
32222110220002000
42203021222002
541422102101
64124404430
71026350016
oct243115202
988426060
1042769026
1122162003
12123a6716
138b26021
145974546
153b4c486
hex28c9a82

42769026 has 64 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 13305600.

The previous prime is 42769009. The next prime is 42769037. The reversal of 42769026 is 62096724.

It is a happy number.

It is a Curzon 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, 48106 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 242769026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

42769026 is an abundant number, since it is smaller than the sum of its proper divisors (58837374).

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

42769026 is a wasteful number, since it uses less digits than its factorization.

42769026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42769026 is about 6539.8032080484. The cubic root of 42769026 is about 349.7113974641.

It can be divided in two parts, 427690 and 26, that added together give a square (427716 = 6542).

The spelling of 42769026 in words is "forty-two million, seven hundred sixty-nine thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 881 899 1566 1674 1762 1798 2643 2697 5286 5394 7929 8091 15858 16182 23787 24273 25549 27311 47574 48546 51098 54622 76647 81933 153294 163866 229941 245799 459882 491598 689823 737397 792019 1379646 1474794 1584038 2376057 4752114 7128171 14256342 21384513 42769026