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2542352124 = 2231343537151
BaseRepresentation
bin1001011110001001…
…0011011011111100
320120011212212110210
42113202103123330
520201320231444
61100135232420
7120000431214
oct22742233374
96504785423
102542352124
111095100864
125ab518710
1331693a790
141a1917244
15ed2e47b9
hex978936fc

2542352124 has 96 divisors (see below), whose sum is σ = 6661315584. Its totient is φ = 749548800.

The previous prime is 2542352101. The next prime is 2542352147. The reversal of 2542352124 is 4212532452.

It is an interprime number because it is at equal distance from previous prime (2542352101) and next prime (2542352147).

It is a super-2 number, since 2×25423521242 = 12927108644814622752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2542352091 and 2542352100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351949 + ... + 359099.

It is an arithmetic number, because the mean of its divisors is an integer number (69388704).

Almost surely, 22542352124 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 2542352124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330657792).

2542352124 is an abundant number, since it is smaller than the sum of its proper divisors (4118963460).

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

2542352124 is a wasteful number, since it uses less digits than its factorization.

2542352124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7265 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2542352124 is about 50421.7425720294. The cubic root of 2542352124 is about 1364.8300224415.

Adding to 2542352124 its reverse (4212532452), we get a palindrome (6754884576).

The spelling of 2542352124 in words is "two billion, five hundred forty-two million, three hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 53 78 86 106 129 156 159 172 212 258 318 516 559 636 689 1118 1378 1677 2067 2236 2279 2756 3354 4134 4558 6708 6837 7151 8268 9116 13674 14302 21453 27348 28604 29627 42906 59254 85812 88881 92963 118508 177762 185926 278889 307493 355524 371852 379003 557778 614986 758006 922479 1115556 1137009 1229972 1516012 1844958 2274018 3689916 3997409 4548036 4927039 7994818 9854078 11992227 14781117 15989636 16297129 19708156 23984454 29562234 32594258 47968908 48891387 59124468 65188516 97782774 195565548 211862677 423725354 635588031 847450708 1271176062 2542352124