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42705964 = 2272276719
BaseRepresentation
bin1010001011101…
…0010000101100
32222100200120101
42202322100230
541413042324
64123200444
71025665120
oct242722054
988320511
1042705964
1122119694
1212376124
138b03402
145959580
153b38944
hex28ba42c

42705964 has 24 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 18219216.

The previous prime is 42705959. The next prime is 42705979. The reversal of 42705964 is 46950724.

It is a super-2 number, since 2×427059642 = 3647598722338592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2997 + ... + 9715.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 242705964 is an apocalyptic number.

It is an amenable number.

42705964 is an abundant number, since it is smaller than the sum of its proper divisors (43094996).

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

42705964 is a wasteful number, since it uses less digits than its factorization.

42705964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 42705964 is about 6534.9800305739. The cubic root of 42705964 is about 349.5394322965.

The spelling of 42705964 in words is "forty-two million, seven hundred five thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 227 454 908 1589 3178 6356 6719 13438 26876 47033 94066 188132 1525213 3050426 6100852 10676491 21352982 42705964