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42685370 = 2572136701
BaseRepresentation
bin1010001011010…
…1001110111010
32222022122022122
42202311032322
541411412440
64122521242
71025551100
oct242651672
988278278
1042685370
1122105172
1212366222
138ac6c20
145951c70
153b327b5
hex28b53ba

42685370 has 48 divisors (see below), whose sum is σ = 96267528. Its totient is φ = 13507200.

The previous prime is 42685337. The next prime is 42685417. The reversal of 42685370 is 7358624.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24631369 + 18054001 = 4963^2 + 4249^2 .

It is a super-3 number, since 3×426853703 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42685370.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020 + ... + 9720.

Almost surely, 242685370 is an apocalyptic number.

42685370 is an abundant number, since it is smaller than the sum of its proper divisors (53582158).

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

42685370 is a wasteful number, since it uses less digits than its factorization.

42685370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 42685370 is about 6533.4041662827. The cubic root of 42685370 is about 349.4832373938.

The spelling of 42685370 in words is "forty-two million, six hundred eighty-five thousand, three hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 6701 13402 33505 46907 67010 87113 93814 174226 234535 328349 435565 469070 609791 656698 871130 1219582 1641745 3048955 3283490 4268537 6097910 8537074 21342685 42685370