Search a number
-
+
1166493408 = 25331338821
BaseRepresentation
bin100010110000111…
…0100011011100000
310000021222000010120
41011201310123200
54342110242113
6311430000240
740623013263
oct10541643340
93007860116
101166493408
11549500843
122867a6080
131578923b2
14b0ccacda
156c61ca23
hex458746e0

1166493408 has 48 divisors (see below), whose sum is σ = 3071907216. Its totient is φ = 387578880.

The previous prime is 1166493407. The next prime is 1166493409. The reversal of 1166493408 is 8043946611.

It is an interprime number because it is at equal distance from previous prime (1166493407) and next prime (1166493409).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1166493408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166493407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10638 + ... + 49458.

It is an arithmetic number, because the mean of its divisors is an integer number (63998067).

Almost surely, 21166493408 is an apocalyptic number.

It is an amenable number.

1166493408 is an abundant number, since it is smaller than the sum of its proper divisors (1905413808).

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

1166493408 is a wasteful number, since it uses less digits than its factorization.

1166493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39147 (or 39139 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1166493408 is about 34153.9662118472. The cubic root of 1166493408 is about 1052.6744844560.

The spelling of 1166493408 in words is "one billion, one hundred sixty-six million, four hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 626 939 1252 1878 2504 3756 5008 7512 10016 15024 30048 38821 77642 116463 155284 232926 310568 465852 621136 931704 1242272 1863408 3726816 12150973 24301946 36452919 48603892 72905838 97207784 145811676 194415568 291623352 388831136 583246704 1166493408