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93042432 = 28347641
BaseRepresentation
bin1011000101110…
…11011100000000
320111002001020000
411202323130000
5142304324212
613122120000
72206563510
oct542733400
9214061200
1093042432
114857a17a
12271b0000
13163789c2
14c4dd840
15827d1dc
hex58bb700

93042432 has 180 divisors, whose sum is σ = 317564016. Its totient is φ = 26542080.

The previous prime is 93042427. The next prime is 93042451. The reversal of 93042432 is 23424039.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 93042396 and 93042405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144832 + ... + 145472.

Almost surely, 293042432 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 93042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158782008).

93042432 is an abundant number, since it is smaller than the sum of its proper divisors (224521584).

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

93042432 is an equidigital number, since it uses as much as digits as its factorization.

93042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 93042432 is about 9645.8505068242. The cubic root of 93042432 is about 453.1343840593.

The spelling of 93042432 in words is "ninety-three million, forty-two thousand, four hundred thirty-two".