Search a number
-
+
118457952 = 2539712721
BaseRepresentation
bin1110000111110…
…00011001100000
322020220021202120
413003320121200
5220311123302
615430544240
72635606314
oct703703140
9266807676
10118457952
1160959238
1233808080
131b707082
1411a37b44
15a5ed9bc
hex70f8660

118457952 has 48 divisors (see below), whose sum is σ = 314182512. Its totient is φ = 39075840.

The previous prime is 118457917. The next prime is 118457971. The reversal of 118457952 is 259754811.

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2952 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (6545469).

Almost surely, 2118457952 is an apocalyptic number.

118457952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157091256).

118457952 is an abundant number, since it is smaller than the sum of its proper divisors (195724560).

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

118457952 is a wasteful number, since it uses less digits than its factorization.

118457952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12823 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 118457952 is about 10883.8390285781. The cubic root of 118457952 is about 491.1205122007.

The spelling of 118457952 in words is "one hundred eighteen million, four hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 12721 25442 38163 50884 76326 101768 152652 203536 305304 407072 610608 1221216 1233937 2467874 3701811 4935748 7403622 9871496 14807244 19742992 29614488 39485984 59228976 118457952