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42300024 = 23313210429
BaseRepresentation
bin1010000101011…
…1001001111000
32221121001201120
42201113021320
541312100044
64110345240
71022354454
oct241271170
987531646
1042300024
11219716a8
12121bb220
1389c0700
145891664
153aa8519
hex2857278

42300024 has 48 divisors (see below), whose sum is σ = 114521400. Its totient is φ = 13014144.

The previous prime is 42300019. The next prime is 42300091. The reversal of 42300024 is 42000324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42299976 and 42300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159 + ... + 9270.

Almost surely, 242300024 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 42300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57260700).

42300024 is an abundant number, since it is smaller than the sum of its proper divisors (72221376).

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

42300024 is a wasteful number, since it uses less digits than its factorization.

42300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42300024 is about 6503.8468616658. The cubic root of 42300024 is about 348.4283930228.

Adding to 42300024 its reverse (42000324), we get a palindrome (84300348).

The spelling of 42300024 in words is "forty-two million, three hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 10429 20858 31287 41716 62574 83432 125148 135577 250296 271154 406731 542308 813462 1084616 1626924 1762501 3253848 3525002 5287503 7050004 10575006 14100008 21150012 42300024