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42935552 = 281179193
BaseRepresentation
bin1010001111001…
…0010100000000
32222210100111122
42203302110000
541442414202
64132131412
71030642352
oct243622400
988710448
1042935552
1122266130
1212466b68
138b83a6a
1459b90d2
153b819a2
hex28f2500

42935552 has 72 divisors (see below), whose sum is σ = 95168640. Its totient is φ = 19169280.

The previous prime is 42935551. The next prime is 42935561. The reversal of 42935552 is 25553924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42935551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222368 + ... + 222560.

Almost surely, 242935552 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 42935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47584320).

42935552 is an abundant number, since it is smaller than the sum of its proper divisors (52233088).

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

42935552 is a wasteful number, since it uses less digits than its factorization.

42935552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 42935552 is about 6552.5225676834. The cubic root of 42935552 is about 350.1646898412.

The spelling of 42935552 in words is "forty-two million, nine hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 193 256 316 352 386 632 704 772 869 1264 1408 1544 1738 2123 2528 2816 3088 3476 4246 5056 6176 6952 8492 10112 12352 13904 15247 16984 20224 24704 27808 30494 33968 49408 55616 60988 67936 111232 121976 135872 167717 222464 243952 271744 335434 487904 543488 670868 975808 1341736 1951616 2683472 3903232 5366944 10733888 21467776 42935552