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2538286992 = 2432235211471
BaseRepresentation
bin1001011101001011…
…0010111110010000
320112220020100011100
42113102302332100
520144300140432
61055512144400
7116621040423
oct22722627620
96486210140
102538286992
11109288464a
125aa098100
13315b46387
141a11799ba
15ecc9007c
hex974b2f90

2538286992 has 120 divisors (see below), whose sum is σ = 7431810048. Its totient is φ = 807206400.

The previous prime is 2538286957. The next prime is 2538286997. The reversal of 2538286992 is 2996828352.

2538286992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2538286997) 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, 1724817 + ... + 1726287.

Almost surely, 22538286992 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 2538286992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715905024).

2538286992 is an abundant number, since it is smaller than the sum of its proper divisors (4893523056).

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

2538286992 is a wasteful number, since it uses less digits than its factorization.

2538286992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2538286992 is about 50381.4151448726. The cubic root of 2538286992 is about 1364.1021959130.

The spelling of 2538286992 in words is "two billion, five hundred thirty-eight million, two hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 521 552 828 1042 1104 1471 1563 1656 2084 2942 3126 3312 4168 4413 4689 5884 6252 8336 8826 9378 11768 11983 12504 13239 17652 18756 23536 23966 25008 26478 33833 35304 35949 37512 47932 52956 67666 70608 71898 75024 95864 101499 105912 107847 135332 143796 191728 202998 211824 215694 270664 287592 304497 405996 431388 541328 575184 608994 766391 811992 862776 1217988 1532782 1623984 1725552 2299173 2435976 3065564 4598346 4871952 6131128 6897519 9196692 12262256 13795038 17626993 18393384 27590076 35253986 36786768 52880979 55180152 70507972 105761958 110360304 141015944 158642937 211523916 282031888 317285874 423047832 634571748 846095664 1269143496 2538286992