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71442432 = 213331719
BaseRepresentation
bin1000100001000…
…10000000000000
311222102122121000
410100202000000
5121242124212
611031132000
71525151655
oct420420000
9158378530
1071442432
1137366836
121bb14000
1311a55239
1496b9c2c
1564131dc
hex4422000

71442432 has 224 divisors, whose sum is σ = 235915200. Its totient is φ = 21233664.

The previous prime is 71442431. The next prime is 71442461. The reversal of 71442432 is 23424417.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 71442396 and 71442405.

It is not an unprimeable number, because it can be changed into a prime (71442431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760119 + ... + 3760137.

Almost surely, 271442432 is an apocalyptic number.

71442432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117957600).

71442432 is an abundant number, since it is smaller than the sum of its proper divisors (164472768).

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

71442432 is a wasteful number, since it uses less digits than its factorization.

71442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 71442432 is about 8452.3625099732. The cubic root of 71442432 is about 414.9401026439.

Adding to 71442432 its reverse (23424417), we get a palindrome (94866849).

The spelling of 71442432 in words is "seventy-one million, four hundred forty-two thousand, four hundred thirty-two".