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42742248 = 23319671399
BaseRepresentation
bin1010001100001…
…1000111101000
32222102112100020
42203003013220
541420222443
64124040440
71026205653
oct243030750
988375306
1042742248
112214397a
1212393120
138b16a93
14596889a
153b44583
hex28c31e8

42742248 has 64 divisors (see below), whose sum is σ = 114240000. Its totient is φ = 13286592.

The previous prime is 42742241. The next prime is 42742253. The reversal of 42742248 is 84224724.

It is not an unprimeable number, because it can be changed into a prime (42742241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29853 + ... + 31251.

It is an arithmetic number, because the mean of its divisors is an integer number (1785000).

Almost surely, 242742248 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 42742248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120000).

42742248 is an abundant number, since it is smaller than the sum of its proper divisors (71497752).

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

42742248 is a wasteful number, since it uses less digits than its factorization.

42742248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 42742248 is about 6537.7555781782. The cubic root of 42742248 is about 349.6383966052.

The spelling of 42742248 in words is "forty-two million, seven hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1399 1608 2546 2798 3819 4197 5092 5596 7638 8394 10184 11192 15276 16788 26581 30552 33576 53162 79743 93733 106324 159486 187466 212648 281199 318972 374932 562398 637944 749864 1124796 1780927 2249592 3561854 5342781 7123708 10685562 14247416 21371124 42742248