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42301024 = 252979577
BaseRepresentation
bin1010000101011…
…1011001100000
32221121010002121
42201113121200
541312113044
64110354024
71022360413
oct241273140
987533077
1042301024
1121972427
12121bb914
1389c0cbc
145891b7a
153aa8984
hex2857660

42301024 has 48 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 20127744.

The previous prime is 42301013. The next prime is 42301031. The reversal of 42301024 is 42010324.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42300989 and 42301007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 73024 + ... + 73600.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 242301024 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 42301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

42301024 is an abundant number, since it is smaller than the sum of its proper divisors (45092576).

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

42301024 is a wasteful number, since it uses less digits than its factorization.

42301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42301024 is about 6503.9237387903. The cubic root of 42301024 is about 348.4311386922.

Adding to 42301024 its reverse (42010324), we get a palindrome (84311348).

The spelling of 42301024 in words is "forty-two million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 232 316 464 577 632 928 1154 1264 2291 2308 2528 4582 4616 9164 9232 16733 18328 18464 33466 36656 45583 66932 73312 91166 133864 182332 267728 364664 535456 729328 1321907 1458656 2643814 5287628 10575256 21150512 42301024