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115149952 = 272967463
BaseRepresentation
bin1101101110100…
…00110010000000
322000200020001001
412313100302000
5213434244302
615232021344
72565521101
oct667206200
9260606031
10115149952
1159aa9955
1232691854
131ab19488
14114163a8
15a198787
hex6dd0c80

115149952 has 64 divisors (see below), whose sum is σ = 241372800. Its totient is φ = 54641664.

The previous prime is 115149943. The next prime is 115149997. The reversal of 115149952 is 259941511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1151499522 = 26519022891204608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248473 + ... + 248935.

It is an arithmetic number, because the mean of its divisors is an integer number (3771450).

Almost surely, 2115149952 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 115149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120686400).

115149952 is an abundant number, since it is smaller than the sum of its proper divisors (126222848).

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

115149952 is an equidigital number, since it uses as much as digits as its factorization.

115149952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its digits is 16200, while the sum is 37.

The square root of 115149952 is about 10730.7945651755. The cubic root of 115149952 is about 486.5056860028.

The spelling of 115149952 in words is "one hundred fifteen million, one hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 268 463 464 536 926 928 1072 1852 1856 1943 2144 3704 3712 3886 4288 7408 7772 8576 13427 14816 15544 26854 29632 31021 31088 53708 59264 62042 62176 107416 124084 124352 214832 248168 248704 429664 496336 859328 899609 992672 1718656 1799218 1985344 3598436 3970688 7196872 14393744 28787488 57574976 115149952