Search a number
-
+
542207292 = 2231122571453
BaseRepresentation
bin100000010100010…
…110110100111100
31101210020222120120
4200110112310330
52102301113132
6125445214540
716302454164
oct4024266474
91353228516
10542207292
11259075400
12131701450
1388442523
14520215a4
153290402c
hex20516d3c

542207292 has 72 divisors (see below), whose sum is σ = 1396991568. Its totient is φ = 163553280.

The previous prime is 542207273. The next prime is 542207317. The reversal of 542207292 is 292702245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372438 + ... + 373890.

Almost surely, 2542207292 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 542207292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698495784).

542207292 is an abundant number, since it is smaller than the sum of its proper divisors (854784276).

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

542207292 is a wasteful number, since it uses less digits than its factorization.

542207292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 542207292 is about 23285.3450049597. The cubic root of 542207292 is about 815.4333159390.

The spelling of 542207292 in words is "five hundred forty-two million, two hundred seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 257 363 484 514 726 771 1028 1452 1453 1542 2827 2906 3084 4359 5654 5812 8481 8718 11308 15983 16962 17436 31097 31966 33924 47949 62194 63932 93291 95898 124388 175813 186582 191796 351626 373164 373421 527439 703252 746842 1054878 1120263 1493684 2109756 2240526 4107631 4481052 8215262 12322893 16430524 24645786 45183941 49291572 90367882 135551823 180735764 271103646 542207292