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42488848 = 2417315039
BaseRepresentation
bin1010001000010…
…1010000010000
32221221122202001
42202011100100
541334120343
64114403344
71024102123
oct242052020
987848661
1042488848
1121a90556
1212290554
138a5863c
1459003ba
153ae444d
hex2885410

42488848 has 40 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 19345920.

The previous prime is 42488827. The next prime is 42488851. The reversal of 42488848 is 84888424.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42488798 and 42488807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5913 + ... + 10951.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 242488848 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 42488848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

42488848 is an abundant number, since it is smaller than the sum of its proper divisors (47505392).

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

42488848 is a wasteful number, since it uses less digits than its factorization.

42488848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5089 counting only the distinct ones).

The product of its digits is 524288, while the sum is 46.

The square root of 42488848 is about 6518.3470297308. The cubic root of 42488848 is about 348.9460758551.

The spelling of 42488848 in words is "forty-two million, four hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 5039 8432 10078 20156 40312 80624 85663 156209 171326 312418 342652 624836 685304 1249672 1370608 2499344 2655553 5311106 10622212 21244424 42488848