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542054352 = 24374493593
BaseRepresentation
bin100000010011110…
…001011111010000
31101202222012210010
4200103301133100
52102231214402
6125442034520
716301246250
oct4023613720
91352865703
10542054352
11258a80504
12131648a40
13883baa28
1451dc1960
15328c3a6c
hex204f17d0

542054352 has 80 divisors (see below), whose sum is σ = 1604361600. Its totient is φ = 154484736.

The previous prime is 542054347. The next prime is 542054353. The reversal of 542054352 is 253450245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542054353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149068 + ... + 152660.

It is an arithmetic number, because the mean of its divisors is an integer number (20054520).

Almost surely, 2542054352 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 542054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802180800).

542054352 is an abundant number, since it is smaller than the sum of its proper divisors (1062307248).

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

542054352 is a wasteful number, since it uses less digits than its factorization.

542054352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 542054352 is about 23282.0607335347. The cubic root of 542054352 is about 815.3566391767.

The spelling of 542054352 in words is "five hundred forty-two million, fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 449 898 1347 1796 2694 3143 3592 3593 5388 6286 7184 7186 9429 10776 10779 12572 14372 18858 21552 21558 25144 25151 28744 37716 43116 50288 50302 57488 75432 75453 86232 100604 150864 150906 172464 201208 301812 402416 603624 1207248 1613257 3226514 4839771 6453028 9679542 11292799 12906056 19359084 22585598 25812112 33878397 38718168 45171196 67756794 77436336 90342392 135513588 180684784 271027176 542054352