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542024224 = 25771173197
BaseRepresentation
bin100000010011101…
…010001000100000
31101202220200110021
4200103222020200
52102224233344
6125441243224
716301062360
oct4023521040
91352820407
10542024224
11258a5a905
12131633514
13883aa0c1
1451db49a0
15328b9b84
hex204ea220

542024224 has 96 divisors (see below), whose sum is σ = 1250194176. Its totient is φ = 226544640.

The previous prime is 542024221. The next prime is 542024227. The reversal of 542024224 is 422420245.

It is an interprime number because it is at equal distance from previous prime (542024221) and next prime (542024227).

It is not an unprimeable number, because it can be changed into a prime (542024221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751294 + ... + 2751490.

It is an arithmetic number, because the mean of its divisors is an integer number (13022856).

Almost surely, 2542024224 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 542024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625097088).

542024224 is an abundant number, since it is smaller than the sum of its proper divisors (708169952).

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

542024224 is a wasteful number, since it uses less digits than its factorization.

542024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 542024224 is about 23281.4137027802. The cubic root of 542024224 is about 815.3415327457.

Adding to 542024224 its reverse (422420245), we get a palindrome (964444469).

The spelling of 542024224 in words is "five hundred forty-two million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 173 197 224 284 346 394 497 568 692 788 994 1136 1211 1379 1384 1576 1988 2272 2422 2758 2768 3152 3976 4844 5516 5536 6304 7952 9688 11032 12283 13987 15904 19376 22064 24566 27974 34081 38752 44128 49132 55948 68162 85981 97909 98264 111896 136324 171962 195818 196528 223792 238567 272648 343924 391636 393056 447584 477134 545296 687848 783272 954268 1090592 1375696 1566544 1908536 2419751 2751392 3133088 3817072 4839502 7634144 9679004 16938257 19358008 33876514 38716016 67753028 77432032 135506056 271012112 542024224