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542173632 = 263721113231
BaseRepresentation
bin100000010100001…
…110100111000000
31101210012021101220
4200110032213000
52102244024012
6125444355040
716302254100
oct4024164700
91353167356
10542173632
11259052090
121316a5a80
1388430100
1452013200
15328e908c
hex2050e9c0

542173632 has 504 divisors, whose sum is σ = 2034796032. Its totient is φ = 125798400.

The previous prime is 542173591. The next prime is 542173633. The reversal of 542173632 is 236371245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 542173593 and 542173602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542173633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17489457 + ... + 17489487.

Almost surely, 2542173632 is an apocalyptic number.

542173632 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 542173632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017398016).

542173632 is an abundant number, since it is smaller than the sum of its proper divisors (1492622400).

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

542173632 is a wasteful number, since it uses less digits than its factorization.

542173632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 542173632 is about 23284.6222215436. The cubic root of 542173632 is about 815.4164416711.

The spelling of 542173632 in words is "five hundred forty-two million, one hundred seventy-three thousand, six hundred thirty-two".