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42610432 = 28179791
BaseRepresentation
bin1010001010001…
…0111100000000
32222011211112011
42202202330000
541402013212
64121142304
71025116444
oct242427400
988154464
1042610432
1122063937
121232a994
138a9ba97
145932824
153b1a4a7
hex28a2f00

42610432 has 36 divisors (see below), whose sum is σ = 90066816. Its totient is φ = 20049920.

The previous prime is 42610427. The next prime is 42610433. The reversal of 42610432 is 23401624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42610433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 544 + ... + 9247.

It is an arithmetic number, because the mean of its divisors is an integer number (2501856).

Almost surely, 242610432 is an apocalyptic number.

It is an amenable number.

42610432 is an abundant number, since it is smaller than the sum of its proper divisors (47456384).

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

42610432 is an equidigital number, since it uses as much as digits as its factorization.

42610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42610432 is about 6527.6666581559. Note that the first 4 decimals coincide. The cubic root of 42610432 is about 349.2786011929.

The spelling of 42610432 in words is "forty-two million, six hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 9791 19582 39164 78328 156656 166447 313312 332894 626624 665788 1253248 1331576 2506496 2663152 5326304 10652608 21305216 42610432