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42975792 = 2433531877
BaseRepresentation
bin1010001111110…
…0001000110000
32222212101201000
42203330020300
542000211132
64133042000
71031200566
oct243741060
988771630
1042975792
1122293392
1212486300
138b99182
1459c9a36
153b8d87c
hex28fc230

42975792 has 80 divisors (see below), whose sum is σ = 125750880. Its totient is φ = 14047488.

The previous prime is 42975773. The next prime is 42975809. The reversal of 42975792 is 29757924.

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 15 ways as a sum of consecutive naturals, for example, 21958 + ... + 23834.

It is an arithmetic number, because the mean of its divisors is an integer number (1571886).

Almost surely, 242975792 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 42975792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62875440).

42975792 is an abundant number, since it is smaller than the sum of its proper divisors (82775088).

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

42975792 is a wasteful number, since it uses less digits than its factorization.

42975792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1935 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42975792 is about 6555.5924217419. The cubic root of 42975792 is about 350.2740493095.

The spelling of 42975792 in words is "forty-two million, nine hundred seventy-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1877 1908 2544 2862 3754 3816 5631 5724 7508 7632 11262 11448 15016 16893 22524 22896 30032 33786 45048 50679 67572 90096 99481 101358 135144 198962 202716 270288 298443 397924 405432 596886 795848 810864 895329 1193772 1591696 1790658 2387544 2685987 3581316 4775088 5371974 7162632 10743948 14325264 21487896 42975792