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542562024 = 233192115639
BaseRepresentation
bin100000010101101…
…101011011101000
31101210221000011210
4200111231123220
52102343441044
6125500553120
716305462324
oct4025553350
91353830153
10542562024
11259297974
121318527a0
1388537b24
14520b4984
15329741b9
hex2056d6e8

542562024 has 64 divisors (see below), whose sum is σ = 1434816000. Its totient is φ = 170493120.

The previous prime is 542562023. The next prime is 542562037. The reversal of 542562024 is 420265245.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 542561982 and 542562000.

It is not an unprimeable number, because it can be changed into a prime (542562023) 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, 93397 + ... + 99035.

It is an arithmetic number, because the mean of its divisors is an integer number (22419000).

Almost surely, 2542562024 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 542562024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717408000).

542562024 is an abundant number, since it is smaller than the sum of its proper divisors (892253976).

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

542562024 is a wasteful number, since it uses less digits than its factorization.

542562024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 542562024 is about 23292.9608251077. The cubic root of 542562024 is about 815.6111060184.

It can be divided in two parts, 54256 and 2024, that added together give a triangular number (56280 = T335).

The spelling of 542562024 in words is "five hundred forty-two million, five hundred sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 422 456 633 844 1266 1688 2532 4009 5064 5639 8018 11278 12027 16036 16917 22556 24054 32072 33834 45112 48108 67668 96216 107141 135336 214282 321423 428564 642846 857128 1189829 1285692 2379658 2571384 3569487 4759316 7138974 9518632 14277948 22606751 28555896 45213502 67820253 90427004 135640506 180854008 271281012 542562024