Search a number
-
+
1138938288 = 243231576571
BaseRepresentation
bin100001111100010…
…1101000110110000
32221101010001121120
41003320231012300
54313032011123
6305003222240
740136546535
oct10370550660
92841101546
101138938288
115349a0214
12279517980
13151c651a7
14ab396d8c
1569ec82e3
hex43e2d1b0

1138938288 has 80 divisors (see below), whose sum is σ = 3090206976. Its totient is φ = 360771840.

The previous prime is 1138938287. The next prime is 1138938313. The reversal of 1138938288 is 8828398311.

It is a self number, because there is not a number n which added to its sum of digits gives 1138938288.

It is not an unprimeable number, because it can be changed into a prime (1138938287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170043 + ... + 176613.

Almost surely, 21138938288 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 1138938288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545103488).

1138938288 is an abundant number, since it is smaller than the sum of its proper divisors (1951268688).

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

1138938288 is a wasteful number, since it uses less digits than its factorization.

1138938288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6756 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 1138938288 is about 33748.1597720528. The cubic root of 1138938288 is about 1044.3195246335.

The spelling of 1138938288 in words is "one billion, one hundred thirty-eight million, nine hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 942 1104 1256 1884 2512 3611 3768 6571 7222 7536 10833 13142 14444 19713 21666 26284 28888 39426 43332 52568 57776 78852 86664 105136 151133 157704 173328 302266 315408 453399 604532 906798 1031647 1209064 1813596 2063294 2418128 3094941 3627192 4126588 6189882 7254384 8253176 12379764 16506352 23727881 24759528 47455762 49519056 71183643 94911524 142367286 189823048 284734572 379646096 569469144 1138938288