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42748056 = 233213109419
BaseRepresentation
bin1010001100010…
…0100010011000
32222102211022100
42203010202120
541420414211
64124123400
71026231621
oct243044230
988384270
1042748056
112214827a
1212396560
138b19610
14596aa48
153b46156
hex28c4898

42748056 has 96 divisors (see below), whose sum is σ = 126126000. Its totient is φ = 13001472.

The previous prime is 42748033. The next prime is 42748067. The reversal of 42748056 is 65084724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42748056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101815 + ... + 102233.

Almost surely, 242748056 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 42748056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63063000).

42748056 is an abundant number, since it is smaller than the sum of its proper divisors (83377944).

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

42748056 is a wasteful number, since it uses less digits than its factorization.

42748056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42748056 is about 6538.1997522254. The cubic root of 42748056 is about 349.6542326763.

The spelling of 42748056 in words is "forty-two million, seven hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 419 436 468 654 838 872 936 981 1257 1308 1417 1676 1962 2514 2616 2834 3352 3771 3924 4251 5028 5447 5668 7542 7848 8502 10056 10894 11336 12753 15084 16341 17004 21788 25506 30168 32682 34008 43576 45671 49023 51012 65364 91342 98046 102024 130728 137013 182684 196092 274026 365368 392184 411039 548052 593723 822078 1096104 1187446 1644156 1781169 2374892 3288312 3562338 4749784 5343507 7124676 10687014 14249352 21374028 42748056