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42457932 = 2235112192
BaseRepresentation
bin1010000111110…
…1101101001100
32221220002100000
42201331231030
541332123212
64114004300
71023613026
oct241755514
987802300
1042457932
1121a6a300
1212276690
138a4754a
1458d3016
153ada1dc
hex287db4c

42457932 has 162 divisors, whose sum is σ = 129114804. Its totient is φ = 12188880.

The previous prime is 42457927. The next prime is 42457957. The reversal of 42457932 is 23975424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2234619 + ... + 2234637.

Almost surely, 242457932 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 42457932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64557402).

42457932 is an abundant number, since it is smaller than the sum of its proper divisors (86656872).

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

42457932 is a wasteful number, since it uses less digits than its factorization.

42457932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 42457932 is about 6515.9751380741. The cubic root of 42457932 is about 348.8614212144.

The spelling of 42457932 in words is "forty-two million, four hundred fifty-seven thousand, nine hundred thirty-two".