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2438082192 = 2437132232503
BaseRepresentation
bin1001000101010010…
…0010111010010000
320021220200102000110
42101110202322100
514443122112232
61041532321320
7114263233230
oct22124427220
96256612013
102438082192
111041263267
12580613240
132cb1605b0
14191b33cc0
15e4099acc
hex91522e90

2438082192 has 160 divisors (see below), whose sum is σ = 7789723648. Its totient is φ = 639871488.

The previous prime is 2438082173. The next prime is 2438082233. The reversal of 2438082192 is 2912808342.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2438082192.

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, 972813 + ... + 975315.

Almost surely, 22438082192 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 2438082192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894861824).

2438082192 is an abundant number, since it is smaller than the sum of its proper divisors (5351641456).

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

2438082192 is a wasteful number, since it uses less digits than its factorization.

2438082192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2438082192 is about 49376.9398808796. The cubic root of 2438082192 is about 1345.9102919561.

The spelling of 2438082192 in words is "two billion, four hundred thirty-eight million, eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 223 273 312 336 364 446 546 624 669 728 892 1092 1338 1456 1561 1784 2184 2503 2676 2899 3122 3568 4368 4683 5006 5352 5798 6244 7509 8697 9366 10012 10704 11596 12488 15018 17394 17521 18732 20024 20293 23192 24976 30036 32539 34788 35042 37464 40048 40586 46384 52563 60072 60879 65078 69576 70084 74928 81172 97617 105126 120144 121758 130156 139152 140168 162344 195234 210252 227773 243516 260312 280336 324688 390468 420504 455546 487032 520624 558169 683319 780936 841008 911092 974064 1116338 1366638 1561872 1674507 1822184 2232676 2733276 3349014 3644368 3907183 4465352 5466552 6698028 7256197 7814366 8930704 10933104 11721549 13396056 14512394 15628732 21768591 23443098 26792112 29024788 31257464 43537182 46886196 50793379 58049576 62514928 87074364 93772392 101586758 116099152 152380137 174148728 187544784 203173516 304760274 348297456 406347032 609520548 812694064 1219041096 2438082192