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42301032 = 23317199521
BaseRepresentation
bin1010000101011…
…1011001101000
32221121010002220
42201113121220
541312113112
64110354040
71022360424
oct241273150
987533086
1042301032
1121972434
12121bb920
1389c0cc7
145891b84
153aa898c
hex2857668

42301032 has 64 divisors (see below), whose sum is σ = 112752000. Its totient is φ = 13178880.

The previous prime is 42301031. The next prime is 42301037. The reversal of 42301032 is 23010324.

It is not an unprimeable number, because it can be changed into a prime (42301031) 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, 80932 + ... + 81452.

It is an arithmetic number, because the mean of its divisors is an integer number (1761750).

Almost surely, 242301032 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 42301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376000).

42301032 is an abundant number, since it is smaller than the sum of its proper divisors (70450968).

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

42301032 is a wasteful number, since it uses less digits than its factorization.

42301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42301032 is about 6503.9243538036. The cubic root of 42301032 is about 348.4311606574.

Adding to 42301032 its reverse (23010324), we get a palindrome (65311356).

The spelling of 42301032 in words is "forty-two million, three hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 199 204 398 408 521 597 796 1042 1194 1563 1592 2084 2388 3126 3383 4168 4776 6252 6766 8857 10149 12504 13532 17714 20298 26571 27064 35428 40596 53142 70856 81192 103679 106284 207358 212568 311037 414716 622074 829432 1244148 1762543 2488296 3525086 5287629 7050172 10575258 14100344 21150516 42301032