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42693940 = 2252134697
BaseRepresentation
bin1010001011011…
…1010100110100
32222100002002001
42202313110310
541412201230
64123025044
71025615062
oct242672464
988302061
1042693940
1122110653
121236b184
138acaab3
145955032
153b350ca
hex28b7534

42693940 has 12 divisors (see below), whose sum is σ = 89657316. Its totient is φ = 17077568.

The previous prime is 42693929. The next prime is 42693943. The reversal of 42693940 is 4939624.

42693940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15194404 + 27499536 = 3898^2 + 5244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42693940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42693943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1067329 + ... + 1067368.

It is an arithmetic number, because the mean of its divisors is an integer number (7471443).

Almost surely, 242693940 is an apocalyptic number.

It is an amenable number.

42693940 is an abundant number, since it is smaller than the sum of its proper divisors (46963376).

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

42693940 is a wasteful number, since it uses less digits than its factorization.

42693940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134706 (or 2134704 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 42693940 is about 6534.0599936028. The cubic root of 42693940 is about 349.5066245709.

The spelling of 42693940 in words is "forty-two million, six hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 2134697 4269394 8538788 10673485 21346970 42693940