Search a number
-
+
117841952 = 251921012
BaseRepresentation
bin1110000011000…
…10000000100000
322012201222202202
413001202000200
5220131420302
615405432332
72630432354
oct701420040
9265658682
10117841952
1160578448
123356b6a8
131b54c887
1411917464
15a52b202
hex7062020

117841952 has 54 divisors (see below), whose sum is σ = 247302909. Its totient is φ = 55267200.

The previous prime is 117841931. The next prime is 117841957. The reversal of 117841952 is 259148711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 81793936 + 36048016 = 9044^2 + 6004^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7676.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117841957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1166702 + ... + 1166802.

Almost surely, 2117841952 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 117841952

117841952 is an abundant number, since it is smaller than the sum of its proper divisors (129460957).

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

117841952 is an equidigital number, since it uses as much as digits as its factorization.

117841952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its digits is 20160, while the sum is 38.

The square root of 117841952 is about 10855.5033047759. The cubic root of 117841952 is about 490.2677309613.

The spelling of 117841952 in words is "one hundred seventeen million, eight hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 101 152 202 304 361 404 608 722 808 1444 1616 1919 2888 3232 3838 5776 7676 10201 11552 15352 20402 30704 36461 40804 61408 72922 81608 145844 163216 193819 291688 326432 387638 583376 775276 1166752 1550552 3101104 3682561 6202208 7365122 14730244 29460488 58920976 117841952