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542626938 = 23474710181
BaseRepresentation
bin100000010101111…
…101010001111010
31101211001022020000
4200111331101322
52102403030223
6125502213430
716306152510
oct4025752172
91354038200
10542626938
11259331717
12131884276
138855b539
14520d04b0
1532988543
hex2057d47a

542626938 has 80 divisors (see below), whose sum is σ = 1419289344. Its totient is φ = 151722720.

The previous prime is 542626913. The next prime is 542626939. The reversal of 542626938 is 839626245.

542626938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542626893 and 542626902.

It is not an unprimeable number, because it can be changed into a prime (542626939) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48208 + ... + 58388.

Almost surely, 2542626938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542626938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709644672).

542626938 is an abundant number, since it is smaller than the sum of its proper divisors (876662406).

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

542626938 is a wasteful number, since it uses less digits than its factorization.

542626938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10249 (or 10240 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 542626938 is about 23294.3542086919. The cubic root of 542626938 is about 815.6436322339.

The spelling of 542626938 in words is "five hundred forty-two million, six hundred twenty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 282 329 378 423 567 658 846 987 1134 1269 1974 2538 2961 3807 5922 7614 8883 10181 17766 20362 26649 30543 53298 61086 71267 91629 142534 183258 213801 274887 427602 478507 549774 641403 824661 957014 1282806 1435521 1649322 1924209 2871042 3349549 3848418 4306563 5772627 6699098 8613126 10048647 11545254 12919689 20097294 25839378 30145941 38759067 60291882 77518134 90437823 180875646 271313469 542626938