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542135152 = 241317914561
BaseRepresentation
bin100000010100000…
…101001101110000
31101210010022121201
4200110011031300
52102241311102
6125443500544
716302033646
oct4024051560
91353108551
10542135152
11259026189
12131687754
1388418740
1452003196
15328dc987
hex20505370

542135152 has 40 divisors (see below), whose sum is σ = 1137583440. Its totient is φ = 248801280.

The previous prime is 542135147. The next prime is 542135173. The reversal of 542135152 is 251531245.

It is a self number, because there is not a number n which added to its sum of digits gives 542135152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29952 + ... + 44512.

It is an arithmetic number, because the mean of its divisors is an integer number (28439586).

Almost surely, 2542135152 is an apocalyptic number.

542135152 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 542135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568791720).

542135152 is an abundant number, since it is smaller than the sum of its proper divisors (595448288).

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

542135152 is a wasteful number, since it uses less digits than its factorization.

542135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14761 (or 14755 counting only the distinct ones).

The product of its digits is 6000, while the sum is 28.

The square root of 542135152 is about 23283.7959104610. The cubic root of 542135152 is about 815.3971502085.

Adding to 542135152 its reverse (251531245), we get a palindrome (793666397).

The spelling of 542135152 in words is "five hundred forty-two million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 1432 2327 2864 4654 9308 14561 18616 29122 37232 58244 116488 189293 232976 378586 757172 1514344 2606419 3028688 5212838 10425676 20851352 33883447 41702704 67766894 135533788 271067576 542135152