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42304728 = 23323173443
BaseRepresentation
bin1010000101100…
…0010011011000
32221121022011210
42201120103120
541312222403
64110423120
71022404254
oct241302330
987538153
1042304728
1121975194
1212201aa0
1389c28ab
145893264
153aa9b03
hex28584d8

42304728 has 64 divisors (see below), whose sum is σ = 111248640. Its totient is φ = 13380224.

The previous prime is 42304709. The next prime is 42304729. The reversal of 42304728 is 82740324.

It is a super-2 number, since 2×423047282 = 3579380022307968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42304695 and 42304704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42304729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95275 + ... + 95717.

It is an arithmetic number, because the mean of its divisors is an integer number (1738260).

Almost surely, 242304728 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 42304728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55624320).

42304728 is an abundant number, since it is smaller than the sum of its proper divisors (68943912).

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

42304728 is a wasteful number, since it uses less digits than its factorization.

42304728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42304728 is about 6504.2084837434. The cubic root of 42304728 is about 348.4413082748.

The spelling of 42304728 in words is "forty-two million, three hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 173 184 276 346 443 519 552 692 886 1038 1329 1384 1772 2076 2658 3544 3979 4152 5316 7958 10189 10632 11937 15916 20378 23874 30567 31832 40756 47748 61134 76639 81512 95496 122268 153278 229917 244536 306556 459834 613112 919668 1762697 1839336 3525394 5288091 7050788 10576182 14101576 21152364 42304728