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2542452 = 22311217103
BaseRepresentation
bin1001101100101101110100
311210011120220
421230231310
51122324302
6130254340
730416253
oct11545564
94704526
102542452
111487200
12a273b0
136b0313
144a279a
153534bc
hex26cb74

2542452 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 718080.

The previous prime is 2542429. The next prime is 2542453.

It is a happy number.

2542452 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24633 + ... + 24735.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

22542452 is an apocalyptic number.

2542452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2542452 is an abundant number, since it is smaller than the sum of its proper divisors (4428876).

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

2542452 is a wasteful number, since it uses less digits than its factorization.

2542452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 3200, while the sum is 24.

The square root of 2542452 is about 1594.5068203053. The cubic root of 2542452 is about 136.4847894602.

The spelling of 2542452 in words is "two million, five hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 121 132 187 204 206 242 309 363 374 412 484 561 618 726 748 1122 1133 1236 1452 1751 2057 2244 2266 3399 3502 4114 4532 5253 6171 6798 7004 8228 10506 12342 12463 13596 19261 21012 24684 24926 37389 38522 49852 57783 74778 77044 115566 149556 211871 231132 423742 635613 847484 1271226 2542452