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542103008 = 25231037151
BaseRepresentation
bin100000010011111…
…101010111100000
31101210001200112012
4200103331113200
52102234244013
6125443052052
716301541146
oct4023752740
91353050465
10542103008
11259004017
12131671028
1388406c15
1451dd5596
15328d31a8
hex204fd5e0

542103008 has 48 divisors (see below), whose sum is σ = 1124637696. Its totient is φ = 256713600.

The previous prime is 542103007. The next prime is 542103047. The reversal of 542103008 is 800301245.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542103007) 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, 72233 + ... + 79383.

It is an arithmetic number, because the mean of its divisors is an integer number (23429952).

Almost surely, 2542103008 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 542103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562318848).

542103008 is an abundant number, since it is smaller than the sum of its proper divisors (582534688).

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

542103008 is a wasteful number, since it uses less digits than its factorization.

542103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 542103008 is about 23283.1056347730. The cubic root of 542103008 is about 815.3810345198.

The spelling of 542103008 in words is "five hundred forty-two million, one hundred three thousand, eight".

Divisors: 1 2 4 8 16 23 32 46 92 103 184 206 368 412 736 824 1648 2369 3296 4738 7151 9476 14302 18952 28604 37904 57208 75808 114416 164473 228832 328946 657892 736553 1315784 1473106 2631568 2946212 5263136 5892424 11784848 16940719 23569696 33881438 67762876 135525752 271051504 542103008