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42769536 = 273127877
BaseRepresentation
bin1010001100100…
…1110010000000
32222110220202220
42203021302000
541422111121
64124411040
71026351345
oct243116200
988426686
1042769536
1122162427
12123a6a80
138b26324
1459747cc
153b4c6c6
hex28c9c80

42769536 has 64 divisors (see below), whose sum is σ = 114631680. Its totient is φ = 14128128.

The previous prime is 42769511. The next prime is 42769543. The reversal of 42769536 is 63596724.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48330 + ... + 49206.

It is an arithmetic number, because the mean of its divisors is an integer number (1791120).

Almost surely, 242769536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57315840).

42769536 is an abundant number, since it is smaller than the sum of its proper divisors (71862144).

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

42769536 is a wasteful number, since it uses less digits than its factorization.

42769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 42769536 is about 6539.8421999311. The cubic root of 42769536 is about 349.7127875051.

The spelling of 42769536 in words is "forty-two million, seven hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 877 1016 1524 1754 2032 2631 3048 3508 4064 5262 6096 7016 8128 10524 12192 14032 16256 21048 24384 28064 42096 48768 56128 84192 111379 112256 168384 222758 334137 336768 445516 668274 891032 1336548 1782064 2673096 3564128 5346192 7128256 10692384 14256512 21384768 42769536