Search a number
-
+
2542428 = 223471959
BaseRepresentation
bin1001101100101101011100
311210011120000
421230231130
51122324203
6130254300
730416220
oct11545534
94704500
102542428
111487189
12a27390
136b02c5
144a2780
153534a3
hex26cb5c

2542428 has 120 divisors (see below), whose sum is σ = 8131200. Its totient is φ = 676512.

The previous prime is 2542417. The next prime is 2542429. The reversal of 2542428 is 8242452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43063 + ... + 43121.

It is an arithmetic number, because the mean of its divisors is an integer number (67760).

22542428 is an apocalyptic number.

2542428 is a gapful number since it is divisible by the number (28) 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 2542428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065600).

2542428 is an abundant number, since it is smaller than the sum of its proper divisors (5588772).

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

2542428 is a wasteful number, since it uses less digits than its factorization.

2542428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2542428 is about 1594.4992944495. The cubic root of 2542428 is about 136.4843600001.

It can be divided in two parts, 25424 and 28, that added together give a palindrome (25452).

The spelling of 2542428 in words is "two million, five hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 59 63 76 81 84 108 114 118 126 133 162 171 177 189 228 236 252 266 324 342 354 378 399 413 513 531 532 567 684 708 756 798 826 1026 1062 1121 1134 1197 1239 1539 1593 1596 1652 2052 2124 2242 2268 2394 2478 3078 3186 3363 3591 3717 4484 4779 4788 4956 6156 6372 6726 7182 7434 7847 9558 10089 10773 11151 13452 14364 14868 15694 19116 20178 21546 22302 23541 30267 31388 33453 40356 43092 44604 47082 60534 66906 70623 90801 94164 121068 133812 141246 181602 211869 282492 363204 423738 635607 847476 1271214 2542428