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2538748146 = 2311471635021
BaseRepresentation
bin1001011101010010…
…0011100011110010
320112221002202202010
42113110203203302
520144404420041
61055530103350
7116625001044
oct22724434362
96487082663
102538748146
11109306a070
125aa27ab56
13315c7824c
141a1259a94
15ecd31a16
hex975238f2

2538748146 has 64 divisors (see below), whose sum is σ = 5692778496. Its totient is φ = 748180800.

The previous prime is 2538748123. The next prime is 2538748153. The reversal of 2538748146 is 6418478352.

2538748146 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 a junction number, because it is equal to n+sod(n) for n = 2538748095 and 2538748104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503116 + ... + 508136.

It is an arithmetic number, because the mean of its divisors is an integer number (88949664).

Almost surely, 22538748146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538748146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846389248).

2538748146 is an abundant number, since it is smaller than the sum of its proper divisors (3154030350).

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

2538748146 is a wasteful number, since it uses less digits than its factorization.

2538748146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247.

The product of its digits is 1290240, while the sum is 48.

The square root of 2538748146 is about 50385.9915651166. The cubic root of 2538748146 is about 1364.1848005849.

The spelling of 2538748146 in words is "two billion, five hundred thirty-eight million, seven hundred forty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 163 282 326 489 517 978 1034 1551 1793 3102 3586 5021 5379 7661 10042 10758 15063 15322 22983 30126 45966 55231 84271 110462 165693 168542 235987 252813 331386 471974 505626 707961 818423 1415922 1636846 2455269 2595857 4910538 5191714 7787571 9002653 15575142 18005306 27007959 38465881 54015918 76931762 115397643 230795286 423124691 846249382 1269374073 2538748146