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2534049648 = 2432131779627
BaseRepresentation
bin1001011100001010…
…1000011101110000
320112121021001121200
42113002220131300
520142204042043
61055241251200
7116540031564
oct22702503560
96477231550
102534049648
111090450009
125a8793b00
13314cc1780
141a07956a4
15ec7047d3
hex970a8770

2534049648 has 120 divisors (see below), whose sum is σ = 8086701168. Its totient is φ = 733833216.

The previous prime is 2534049619. The next prime is 2534049691. The reversal of 2534049648 is 8469404352.

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, 7990 + ... + 71637.

Almost surely, 22534049648 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 2534049648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043350584).

2534049648 is an abundant number, since it is smaller than the sum of its proper divisors (5552651520).

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

2534049648 is a wasteful number, since it uses less digits than its factorization.

2534049648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79671 (or 79662 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2534049648 is about 50339.3449301836. The cubic root of 2534049648 is about 1363.3427086844.

The spelling of 2534049648 in words is "two billion, five hundred thirty-four million, forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 79627 159254 238881 318508 477762 637016 716643 955524 1035151 1274032 1353659 1433286 1911048 2070302 2707318 2866572 3105453 3822096 4060977 4140604 5414636 5733144 6210906 8121954 8281208 9316359 10829272 11466288 12182931 12421812 16243908 16562416 17597567 18632718 21658544 24365862 24843624 32487816 35195134 37265436 48731724 49687248 52792701 64975632 70390268 74530872 97463448 105585402 140780536 149061744 158378103 194926896 211170804 281561072 316756206 422341608 633512412 844683216 1267024824 2534049648