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42074781 = 373311319
BaseRepresentation
bin1010000010000…
…0001010011101
32221011121202020
42200200022131
541232343111
64101450353
71020426000
oct240401235
987147666
1042074781
1121828451
12121109b9
138942028
145833537
153a61906
hex282029d

42074781 has 32 divisors (see below), whose sum is σ = 67584000. Its totient is φ = 23249520.

The previous prime is 42074777. The next prime is 42074789. The reversal of 42074781 is 18747024.

It is not a de Polignac number, because 42074781 - 22 = 42074777 is a prime.

It is a super-3 number, since 3×420747813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074789) 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, 31240 + ... + 32558.

It is an arithmetic number, because the mean of its divisors is an integer number (2112000).

Almost surely, 242074781 is an apocalyptic number.

It is an amenable number.

42074781 is a deficient number, since it is larger than the sum of its proper divisors (25509219).

42074781 is a wasteful number, since it uses less digits than its factorization.

42074781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 42074781 is about 6486.5076119588. The cubic root of 42074781 is about 347.8088443506.

The spelling of 42074781 in words is "forty-two million, seventy-four thousand, seven hundred eighty-one".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1319 1519 3957 4557 9233 10633 27699 31899 40889 64631 122667 193893 286223 452417 858669 1357251 2003561 6010683 14024927 42074781