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42787044 = 22321188529
BaseRepresentation
bin1010001100111…
…0000011100100
32222111210210100
42203032003210
541423141134
64125024100
71026453366
oct243160344
988453710
1042787044
11221745a3
12123b5030
138b312a1
14597ad36
153b52999
hex28ce0e4

42787044 has 18 divisors (see below), whose sum is σ = 108156230. Its totient is φ = 14262336.

The previous prime is 42787039. The next prime is 42787091. The reversal of 42787044 is 44078724.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 3849444 = 6240^2 + 1962^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×427870442 = 3661462268515872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1188529 = 42787044 / (4 + 2 + 7 + 8 + 7 + 0 + 4 + 4).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 594229 + ... + 594300.

Almost surely, 242787044 is an apocalyptic number.

It is an amenable number.

42787044 is an abundant number, since it is smaller than the sum of its proper divisors (65369186).

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

42787044 is a wasteful number, since it uses less digits than its factorization.

42787044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188539 (or 1188534 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42787044 is about 6541.1806273791. The cubic root of 42787044 is about 349.7605000967.

The spelling of 42787044 in words is "forty-two million, seven hundred eighty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1188529 2377058 3565587 4754116 7131174 10696761 14262348 21393522 42787044