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53394432 = 2103713191
BaseRepresentation
bin1100101110101…
…1110000000000
310201110201101120
43023223300000
5102132110212
65144232240
71215562620
oct313536000
9121421346
1053394432
112815a033
1215a6b680
13b0a6450
14713c880
154a4a88c
hex32ebc00

53394432 has 176 divisors, whose sum is σ = 176074752. Its totient is φ = 14008320.

The previous prime is 53394379. The next prime is 53394437. The reversal of 53394432 is 23449335.

Its product of digits (38880) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 53394393 and 53394402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53394437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279457 + ... + 279647.

Almost surely, 253394432 is an apocalyptic number.

53394432 is a gapful number since it is divisible by the number (52) 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 53394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88037376).

53394432 is an abundant number, since it is smaller than the sum of its proper divisors (122680320).

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

53394432 is a wasteful number, since it uses less digits than its factorization.

53394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 53394432 is about 7307.1493757826. The cubic root of 53394432 is about 376.5580968144.

The spelling of 53394432 in words is "fifty-three million, three hundred ninety-four thousand, four hundred thirty-two".