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542645688 = 233134793631
BaseRepresentation
bin100000010110000…
…001110110111000
31101211002020221110
4200112001312320
52102404130223
6125502440320
716306261254
oct4026016670
91354066843
10542645688
11259344812
121318930a0
1388566c30
14520d7264
153298dd93
hex20581db8

542645688 has 64 divisors (see below), whose sum is σ = 1464422400. Its totient is φ = 166573440.

The previous prime is 542645683. The next prime is 542645689. The reversal of 542645688 is 886546245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542645683) 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, 147633 + ... + 151263.

It is an arithmetic number, because the mean of its divisors is an integer number (22881600).

Almost surely, 2542645688 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 542645688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732211200).

542645688 is an abundant number, since it is smaller than the sum of its proper divisors (921776712).

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

542645688 is a wasteful number, since it uses less digits than its factorization.

542645688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4128 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 542645688 is about 23294.7566632494. The cubic root of 542645688 is about 815.6530267435.

The spelling of 542645688 in words is "five hundred forty-two million, six hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 479 958 1437 1916 2874 3631 3832 5748 6227 7262 10893 11496 12454 14524 18681 21786 24908 29048 37362 43572 47203 49816 74724 87144 94406 141609 149448 188812 283218 377624 566436 1132872 1739249 3478498 5217747 6956996 10435494 13913992 20870988 22610237 41741976 45220474 67830711 90440948 135661422 180881896 271322844 542645688