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542762368 = 2717923689
BaseRepresentation
bin100000010110011…
…110010110000000
31101211022011222221
4200112132112000
52102421343433
6125505140424
716310255401
oct4026362600
91354264887
10542762368
11259414445
1213192a714
13885a8085
14521279a8
15329b372d
hex2059e580

542762368 has 32 divisors (see below), whose sum is σ = 1087371000. Its totient is φ = 269853696.

The previous prime is 542762359. The next prime is 542762369. The reversal of 542762368 is 863267245.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542762369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11068 + ... + 34756.

Almost surely, 2542762368 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 542762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543685500).

542762368 is an abundant number, since it is smaller than the sum of its proper divisors (544608632).

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

542762368 is a wasteful number, since it uses less digits than its factorization.

542762368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23870 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 542762368 is about 23297.2609548848. The cubic root of 542762368 is about 815.7114832876.

It can be divided in two parts, 54276 and 2368, that added together give a square (56644 = 2382).

The spelling of 542762368 in words is "five hundred forty-two million, seven hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2864 5728 11456 22912 23689 47378 94756 189512 379024 758048 1516096 3032192 4240331 8480662 16961324 33922648 67845296 135690592 271381184 542762368