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542602208 = 2543834751
BaseRepresentation
bin100000010101110…
…111001111100000
31101211000001022002
4200111313033200
52102401232313
6125501503132
716306020431
oct4025671740
91354001262
10542602208
11259315085
12131871aa8
13885501c5
14520c5488
1532981058
hex205773e0

542602208 has 48 divisors (see below), whose sum is σ = 1106493696. Its totient is φ = 261744000.

The previous prime is 542602147. The next prime is 542602219. The reversal of 542602208 is 802206245.

It is a super-2 number, since 2×5426022082 = 588834312252950528, which contains 22 as substring.

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, 111833 + ... + 116583.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952).

Almost surely, 2542602208 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 542602208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

542602208 is an abundant number, since it is smaller than the sum of its proper divisors (563891488).

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

542602208 is a wasteful number, since it uses less digits than its factorization.

542602208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 542602208 is about 23293.8233873274. The cubic root of 542602208 is about 815.6312411711.

The spelling of 542602208 in words is "five hundred forty-two million, six hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 43 83 86 166 172 332 344 664 688 1328 1376 2656 3569 4751 7138 9502 14276 19004 28552 38008 57104 76016 114208 152032 204293 394333 408586 788666 817172 1577332 1634344 3154664 3268688 6309328 6537376 12618656 16956319 33912638 67825276 135650552 271301104 542602208