Search a number
-
+
1049453088 = 25397251449
BaseRepresentation
bin111110100011010…
…110001000100000
32201010201201222220
4332203112020200
54122124444323
6252045231040
735002126665
oct7643261040
92633651886
101049453088
11499430702
12253562480
13139563678
149d541a6c
15621ee0e3
hex3e8d6220

1049453088 has 96 divisors (see below), whose sum is σ = 2800526400. Its totient is φ = 344064000.

The previous prime is 1049453051. The next prime is 1049453101. The reversal of 1049453088 is 8803549401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10494530882 = 2202703567825471488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337088 + ... + 2337536.

It is an arithmetic number, because the mean of its divisors is an integer number (29172150).

Almost surely, 21049453088 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 1049453088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400263200).

1049453088 is an abundant number, since it is smaller than the sum of its proper divisors (1751073312).

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

1049453088 is a wasteful number, since it uses less digits than its factorization.

1049453088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1049453088 is about 32395.2633574725. The cubic root of 1049453088 is about 1016.2198565274.

The spelling of 1049453088 in words is "one billion, forty-nine million, four hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 251 291 388 449 502 582 753 776 898 1004 1164 1347 1506 1552 1796 2008 2328 2694 3012 3104 3592 4016 4656 5388 6024 7184 8032 9312 10776 12048 14368 21552 24096 24347 43104 43553 48694 73041 87106 97388 112699 130659 146082 174212 194776 225398 261318 292164 338097 348424 389552 450796 522636 584328 676194 696848 779104 901592 1045272 1168656 1352388 1393696 1803184 2090544 2337312 2704776 3606368 4181088 5409552 10819104 10931803 21863606 32795409 43727212 65590818 87454424 131181636 174908848 262363272 349817696 524726544 1049453088