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42414132 = 22313126981
BaseRepresentation
bin1010000111001…
…1000000110100
32221210212020210
42201303000310
541324223012
64113025420
71023341235
oct241630064
987725223
1042414132
1121a3a402
1212255270
138a30627
1458c108c
153acc23c
hex2873034

42414132 has 24 divisors (see below), whose sum is σ = 99725472. Its totient is φ = 14029600.

The previous prime is 42414121. The next prime is 42414143. The reversal of 42414132 is 23141424.

It is an interprime number because it is at equal distance from previous prime (42414121) and next prime (42414143).

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 = 42414099 and 42414108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11919 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (4155228).

Almost surely, 242414132 is an apocalyptic number.

It is an amenable number.

42414132 is an abundant number, since it is smaller than the sum of its proper divisors (57311340).

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

42414132 is a wasteful number, since it uses less digits than its factorization.

42414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27119 (or 27117 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 42414132 is about 6512.6133003580. The cubic root of 42414132 is about 348.7414170367.

Adding to 42414132 its reverse (23141424), we get a palindrome (65555556).

The spelling of 42414132 in words is "forty-two million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 26981 53962 80943 107924 161886 323772 3534511 7069022 10603533 14138044 21207066 42414132