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42123432 = 23313791709
BaseRepresentation
bin1010000010110…
…0000010101000
32221021002111010
42200230002220
541240422212
64102503520
71021020561
oct240540250
987232433
1042123432
1121860a5a
1212134ba0
13895b210
145847168
153a7103c
hex282c0a8

42123432 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 12789504.

The previous prime is 42123401. The next prime is 42123449. The reversal of 42123432 is 23432124.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42123399 and 42123408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23794 + ... + 25502.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 242123432 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 42123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

42123432 is an abundant number, since it is smaller than the sum of its proper divisors (72788568).

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

42123432 is a wasteful number, since it uses less digits than its factorization.

42123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1806 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 42123432 is about 6490.2566975429. The cubic root of 42123432 is about 347.9428496452.

Adding to 42123432 its reverse (23432124), we get a palindrome (65555556).

The spelling of 42123432 in words is "forty-two million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1709 1896 2054 3081 3418 4108 5127 6162 6836 8216 10254 12324 13672 20508 22217 24648 41016 44434 66651 88868 133302 135011 177736 266604 270022 405033 533208 540044 810066 1080088 1620132 1755143 3240264 3510286 5265429 7020572 10530858 14041144 21061716 42123432