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42332430 = 2357474289
BaseRepresentation
bin1010000101111…
…1000100001110
32221122201011210
42201133010032
541314114210
64111155250
71022551110
oct241370416
987581153
1042332430
1121993a88
1212215b26
138a0239a
14589d3b0
153ab2e20
hex285f10e

42332430 has 64 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 9467904.

The previous prime is 42332429. The next prime is 42332447. The reversal of 42332430 is 3423324.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42332397 and 42332406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7726 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 242332430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960).

42332430 is an abundant number, since it is smaller than the sum of its proper divisors (76277490).

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

42332430 is a wasteful number, since it uses less digits than its factorization.

42332430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 42332430 is about 6506.3376795245. The cubic root of 42332430 is about 348.5173471752.

Adding to 42332430 its reverse (3423324), we get a palindrome (45755754).

The spelling of 42332430 in words is "forty-two million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4289 4935 8578 9870 12867 21445 25734 30023 42890 60046 64335 90069 128670 150115 180138 201583 300230 403166 450345 604749 900690 1007915 1209498 1411081 2015830 2822162 3023745 4233243 6047490 7055405 8466486 14110810 21166215 42332430