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42948342 = 23237591093
BaseRepresentation
bin1010001111010…
…1011011110110
32222211000001100
42203311123312
541443321332
64132310530
71031024553
oct243653366
988730040
1042948342
11222747a8
1212472446
138b89828
1459bda2a
153b8567c
hex28f56f6

42948342 has 48 divisors (see below), whose sum is σ = 97278480. Its totient is φ = 13680576.

The previous prime is 42948329. The next prime is 42948349. The reversal of 42948342 is 24384924.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42948297 and 42948306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42948349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38748 + ... + 39840.

It is an arithmetic number, because the mean of its divisors is an integer number (2026635).

Almost surely, 242948342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42948342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48639240).

42948342 is an abundant number, since it is smaller than the sum of its proper divisors (54330138).

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

42948342 is a wasteful number, since it uses less digits than its factorization.

42948342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1194 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42948342 is about 6553.4984550239. The cubic root of 42948342 is about 350.1994563812.

The spelling of 42948342 in words is "forty-two million, nine hundred forty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 1093 2183 2186 3279 4366 6549 6558 9837 13098 19647 19674 39294 40441 64487 80882 121323 128974 193461 242646 363969 386922 580383 727938 1160766 2386019 4772038 7158057 14316114 21474171 42948342