Search a number
-
+
1145250992 = 241943791109
BaseRepresentation
bin100010001000011…
…0010010010110000
32221210222210000102
41010100302102300
54321141012432
6305350411532
740244321114
oct10420622260
92853883012
101145250992
11538512026
1227b660ba8
13153365612
14ac15b744
156a823962
hex444324b0

1145250992 has 80 divisors (see below), whose sum is σ = 2422464000. Its totient is φ = 522692352.

The previous prime is 1145250989. The next prime is 1145251001. The reversal of 1145250992 is 2990525411.

It is a super-3 number, since 3×11452509923 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032134 + ... + 1033242.

It is an arithmetic number, because the mean of its divisors is an integer number (30280800).

Almost surely, 21145250992 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 1145250992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211232000).

1145250992 is an abundant number, since it is smaller than the sum of its proper divisors (1277213008).

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

1145250992 is a wasteful number, since it uses less digits than its factorization.

1145250992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 1145250992 is about 33841.5571745746. The cubic root of 1145250992 is about 1046.2453935479.

The spelling of 1145250992 in words is "one billion, one hundred forty-five million, two hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 43 76 79 86 152 158 172 304 316 344 632 688 817 1109 1264 1501 1634 2218 3002 3268 3397 4436 6004 6536 6794 8872 12008 13072 13588 17744 21071 24016 27176 42142 47687 54352 64543 84284 87611 95374 129086 168568 175222 190748 258172 337136 350444 381496 516344 700888 762992 906053 1032688 1401776 1664609 1812106 3329218 3624212 3767273 6658436 7248424 7534546 13316872 14496848 15069092 26633744 30138184 60276368 71578187 143156374 286312748 572625496 1145250992