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542587552 = 25134727751
BaseRepresentation
bin100000010101110…
…011101010100000
31101210222022012021
4200111303222200
52102400300202
6125501311224
716305626623
oct4025635240
91353868167
10542587552
11259305071
12131865514
1388546630
14520bddba
153297ba37
hex20573aa0

542587552 has 48 divisors (see below), whose sum is σ = 1174908672. Its totient is φ = 245088000.

The previous prime is 542587547. The next prime is 542587559. The reversal of 542587552 is 255785245.

It is a junction number, because it is equal to n+sod(n) for n = 542587499 and 542587508.

It is not an unprimeable number, because it can be changed into a prime (542587559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5677 + ... + 33427.

It is an arithmetic number, because the mean of its divisors is an integer number (24477264).

Almost surely, 2542587552 is an apocalyptic number.

542587552 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 542587552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587454336).

542587552 is an abundant number, since it is smaller than the sum of its proper divisors (632321120).

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

542587552 is a wasteful number, since it uses less digits than its factorization.

542587552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27813 counting only the distinct ones).

The product of its digits is 560000, while the sum is 43.

The square root of 542587552 is about 23293.5087953704. The cubic root of 542587552 is about 815.6238975475.

The spelling of 542587552 in words is "five hundred forty-two million, five hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 19552 27751 55502 111004 222008 360763 444016 721526 888032 1304297 1443052 2608594 2886104 5217188 5772208 10434376 11544416 16955861 20868752 33911722 41737504 67823444 135646888 271293776 542587552