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542255104 = 2111491777
BaseRepresentation
bin100000010100100…
…010100000000000
31101210100102011101
4200110202200000
52102304130404
6125450224144
716303043446
oct4024424000
91353312141
10542255104
112590a8316
12131725054
138845b211
1452034b96
15329132a4
hex20522800

542255104 has 48 divisors (see below), whose sum is σ = 1092136500. Its totient is φ = 269156352.

The previous prime is 542255101. The next prime is 542255111. The reversal of 542255104 is 401552245.

It can be written as a sum of positive squares in 2 ways, for example, as 517653504 + 24601600 = 22752^2 + 4960^2 .

It is not an unprimeable number, because it can be changed into a prime (542255101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304264 + ... + 306040.

Almost surely, 2542255104 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 542255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546068250).

542255104 is an abundant number, since it is smaller than the sum of its proper divisors (549881396).

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

542255104 is a wasteful number, since it uses less digits than its factorization.

542255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 542255104 is about 23286.3716366462. The cubic root of 542255104 is about 815.4572836185.

The spelling of 542255104 in words is "five hundred forty-two million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 1777 2048 2384 3554 4768 7108 9536 14216 19072 28432 38144 56864 76288 113728 152576 227456 264773 305152 454912 529546 909824 1059092 1819648 2118184 3639296 4236368 8472736 16945472 33890944 67781888 135563776 271127552 542255104