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42479856 = 2433107919
BaseRepresentation
bin1010001000001…
…1000011110000
32221221012102000
42202003003300
541333323411
64114254000
71024033656
oct242030360
987835360
1042479856
1121a84821
1212287300
138a54513
1458dadd6
153ae1956
hex28830f0

42479856 has 80 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 14012352.

The previous prime is 42479831. The next prime is 42479863. The reversal of 42479856 is 65897424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45765 + ... + 46683.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 242479856 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 42479856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

42479856 is an abundant number, since it is smaller than the sum of its proper divisors (80726544).

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

42479856 is a wasteful number, since it uses less digits than its factorization.

42479856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42479856 is about 6517.6572478154. The cubic root of 42479856 is about 348.9214580661.

The spelling of 42479856 in words is "forty-two million, four hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 919 963 1284 1712 1838 1926 2568 2757 2889 3676 3852 5136 5514 5778 7352 7704 8271 11028 11556 14704 15408 16542 22056 23112 24813 33084 44112 46224 49626 66168 98333 99252 132336 196666 198504 294999 393332 397008 589998 786664 884997 1179996 1573328 1769994 2359992 2654991 3539988 4719984 5309982 7079976 10619964 14159952 21239928 42479856