Search a number
-
+
542213540 = 2251137591129
BaseRepresentation
bin100000010100011…
…000010110100100
31101210021022010222
4200110120112210
52102301313130
6125445303512
716302511331
oct4024302644
91353238128
10542213540
1125907a070
12131704b98
138844531b
1452023988
1532905ce5
hex205185a4

542213540 has 96 divisors (see below), whose sum is σ = 1298505600. Its totient is φ = 188421120.

The previous prime is 542213491. The next prime is 542213549. The reversal of 542213540 is 45312245.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (542213549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479696 + ... + 480824.

It is an arithmetic number, because the mean of its divisors is an integer number (13526100).

Almost surely, 2542213540 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 542213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649252800).

542213540 is an abundant number, since it is smaller than the sum of its proper divisors (756292060).

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

542213540 is a wasteful number, since it uses less digits than its factorization.

542213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 542213540 is about 23285.4791662100. The cubic root of 542213540 is about 815.4364480793.

Adding to 542213540 its reverse (45312245), we get a palindrome (587525785).

The spelling of 542213540 in words is "five hundred forty-two million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 59 74 110 118 148 185 220 236 295 370 407 590 649 740 814 1129 1180 1298 1628 2035 2183 2258 2596 3245 4070 4366 4516 5645 6490 8140 8732 10915 11290 12419 12980 21830 22580 24013 24838 41773 43660 48026 49676 62095 66611 83546 96052 120065 124190 133222 167092 208865 240130 248380 266444 333055 417730 459503 480260 666110 732721 835460 919006 1332220 1465442 1838012 2297515 2464607 2930884 3663605 4595030 4929214 7327210 9190060 9858428 12323035 14654420 24646070 27110677 49292140 54221354 108442708 135553385 271106770 542213540