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2542182524 = 2272531012423
BaseRepresentation
bin1001011110000110…
…1010000001111100
320120011120020211022
42113201222001330
520201244320044
61100131443312
7116666123600
oct22741520174
96504506738
102542182524
111094aa53a2
125ab456538
133168ab51b
141a18b1500
15ed2ae3ee
hex9786a07c

2542182524 has 72 divisors (see below), whose sum is σ = 5327205408. Its totient is φ = 1057929600.

The previous prime is 2542182493. The next prime is 2542182551. The reversal of 2542182524 is 4252812452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047977 + ... + 1050399.

It is an arithmetic number, because the mean of its divisors is an integer number (73988964).

Almost surely, 22542182524 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 2542182524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663602704).

2542182524 is an abundant number, since it is smaller than the sum of its proper divisors (2785022884).

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

2542182524 is a wasteful number, since it uses less digits than its factorization.

2542182524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2586 counting only the distinct ones).

The product of its digits is 51200, while the sum is 35.

The square root of 2542182524 is about 50420.0607298325. The cubic root of 2542182524 is about 1364.7996725518.

Adding to 2542182524 its reverse (4252812452), we get a palindrome (6794994976).

The spelling of 2542182524 in words is "two billion, five hundred forty-two million, one hundred eighty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 53 98 101 106 196 202 212 371 404 707 742 1414 1484 2423 2597 2828 4846 4949 5194 5353 9692 9898 10388 10706 16961 19796 21412 33922 37471 67844 74942 118727 128419 149884 237454 244723 256838 262297 474908 489446 513676 524594 898933 978892 1049188 1713061 1797866 3426122 3595732 6292531 6852244 11991427 12585062 12970319 23982854 25170124 25940638 47965708 51881276 90792233 181584466 363168932 635545631 1271091262 2542182524