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2530838436 = 2237267227283
BaseRepresentation
bin1001011011011001…
…1000011110100100
320112101012220122220
42112312120132210
520140343312221
61055044352340
7116500525500
oct22666303644
96471186586
102530838436
111089657415
125a76a56b0
13314438c49
141a019b300
15ec2bd0c6
hex96d987a4

2530838436 has 144 divisors (see below), whose sum is σ = 7027405056. Its totient is φ = 706660416.

The previous prime is 2530838423. The next prime is 2530838449. The reversal of 2530838436 is 6348380352.

It is a happy number.

2530838436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2530838423) and next prime (2530838449).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8942751 + ... + 8943033.

It is an arithmetic number, because the mean of its divisors is an integer number (48801424).

Almost surely, 22530838436 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 2530838436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513702528).

2530838436 is an abundant number, since it is smaller than the sum of its proper divisors (4496566620).

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

2530838436 is a wasteful number, since it uses less digits than its factorization.

2530838436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2530838436 is about 50307.4391715579. The cubic root of 2530838436 is about 1362.7665777643.

The spelling of 2530838436 in words is "two billion, five hundred thirty million, eight hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 227 268 283 294 402 454 469 566 588 681 804 849 908 938 1132 1362 1407 1589 1698 1876 1981 2724 2814 3178 3283 3396 3962 4767 5628 5943 6356 6566 7924 9534 9849 11123 11886 13132 13867 15209 18961 19068 19698 22246 23772 27734 30418 33369 37922 39396 41601 44492 45627 55468 56883 60836 64241 66738 75844 83202 91254 106463 113766 128482 132727 133476 166404 182508 192723 212926 227532 256964 265454 319389 385446 398181 425852 449687 530908 638778 745241 770892 796362 899374 929089 1277556 1349061 1490482 1592724 1798748 1858178 2235723 2698122 2787267 2980964 3147809 3716356 4304147 4471446 5396244 5574534 6295618 8608294 8942892 9443427 11149068 12591236 12912441 17216588 18886854 25824882 30129029 37773708 51649764 60258058 90387087 120516116 180774174 210903203 361548348 421806406 632709609 843612812 1265419218 2530838436