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542192232 = 233311315563
BaseRepresentation
bin100000010100010…
…011001001101000
31101210020012220210
4200110103021220
52102300122412
6125445021120
716302362241
oct4024231150
91353205823
10542192232
1125906505a
121316b47a0
138843870a
1452019cc8
15328ee83c
hex20513268

542192232 has 64 divisors (see below), whose sum is σ = 1410140160. Its totient is φ = 173534400.

The previous prime is 542192153. The next prime is 542192257. The reversal of 542192232 is 232291245.

It is a super-3 number, since 3×5421922323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 542192232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94683 + ... + 100245.

It is an arithmetic number, because the mean of its divisors is an integer number (22033440).

Almost surely, 2542192232 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 542192232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705070080).

542192232 is an abundant number, since it is smaller than the sum of its proper divisors (867947928).

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

542192232 is a wasteful number, since it uses less digits than its factorization.

542192232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5730 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 542192232 is about 23285.0216233526. The cubic root of 542192232 is about 815.4257662192.

The spelling of 542192232 in words is "five hundred forty-two million, one hundred ninety-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 744 786 1048 1572 3144 4061 5563 8122 11126 12183 16244 16689 22252 24366 32488 33378 44504 48732 66756 97464 133512 172453 344906 517359 689812 728753 1034718 1379624 1457506 2069436 2186259 2915012 4138872 4372518 5830024 8745036 17490072 22591343 45182686 67774029 90365372 135548058 180730744 271096116 542192232