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42789312 = 263274287
BaseRepresentation
bin1010001100111…
…0100111000000
32222111220220100
42203032213000
541423224222
64125042400
71026463116
oct243164700
988456810
1042789312
1122176275
12123b6400
138b32327
14597bab6
153b534ac
hex28ce9c0

42789312 has 42 divisors (see below), whose sum is σ = 122649488. Its totient is φ = 14262912.

The previous prime is 42789287. The next prime is 42789359. The reversal of 42789312 is 21398724.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36568 + ... + 37719.

Almost surely, 242789312 is an apocalyptic number.

It is an amenable number.

42789312 is an abundant number, since it is smaller than the sum of its proper divisors (79860176).

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

42789312 is a wasteful number, since it uses less digits than its factorization.

42789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74305 (or 74292 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42789312 is about 6541.3539882810. The cubic root of 42789312 is about 349.7666798708.

The spelling of 42789312 in words is "forty-two million, seven hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 74287 148574 222861 297148 445722 594296 668583 891444 1188592 1337166 1782888 2377184 2674332 3565776 4754368 5348664 7131552 10697328 14263104 21394656 42789312