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42742856 = 23131997223
BaseRepresentation
bin1010001100001…
…1010001001000
32222102120011202
42203003101020
541420232411
64124043332
71026210512
oct243032110
988376152
1042742856
1122144382
1212393548
138b17140
145968bb2
153b4483b
hex28c3448

42742856 has 64 divisors (see below), whose sum is σ = 92198400. Its totient is φ = 18413568.

The previous prime is 42742853. The next prime is 42742859. The reversal of 42742856 is 65824724.

It is an interprime number because it is at equal distance from previous prime (42742853) and next prime (42742859).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (42742853) 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, 191561 + ... + 191783.

It is an arithmetic number, because the mean of its divisors is an integer number (1440600).

Almost surely, 242742856 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 42742856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46099200).

42742856 is an abundant number, since it is smaller than the sum of its proper divisors (49455544).

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

42742856 is a wasteful number, since it uses less digits than its factorization.

42742856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 42742856 is about 6537.8020771510. The cubic root of 42742856 is about 349.6400544430.

The spelling of 42742856 in words is "forty-two million, seven hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 97 104 152 194 223 247 388 446 494 776 892 988 1261 1784 1843 1976 2522 2899 3686 4237 5044 5798 7372 8474 10088 11596 14744 16948 21631 23192 23959 33896 43262 47918 55081 86524 95836 110162 173048 191672 220324 281203 410989 440648 562406 821978 1124812 1643956 2249624 3287912 5342857 10685714 21371428 42742856