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48982176 = 2532533209
BaseRepresentation
bin1011101011011…
…0100010100000
310102011112220200
42322312202200
5100014412201
64505505200
71133225115
oct272664240
9112145820
1048982176
1125716041
12144a2200
13a1c0049
14671090c
154478386
hex2eb68a0

48982176 has 72 divisors (see below), whose sum is σ = 141965460. Its totient is φ = 16014336.

The previous prime is 48982169. The next prime is 48982181. The reversal of 48982176 is 67128984.

It can be written as a sum of positive squares in 2 ways, for example, as 47941776 + 1040400 = 6924^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13660 + ... + 16868.

Almost surely, 248982176 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 48982176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70982730).

48982176 is an abundant number, since it is smaller than the sum of its proper divisors (92983284).

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

48982176 is a wasteful number, since it uses less digits than its factorization.

48982176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3267 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48982176 is about 6998.7267413437. The cubic root of 48982176 is about 365.8861959172.

The spelling of 48982176 in words is "forty-eight million, nine hundred eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3209 3816 5088 6418 7632 9627 12836 15264 19254 25672 28881 38508 51344 57762 77016 102688 115524 154032 170077 231048 308064 340154 462096 510231 680308 924192 1020462 1360616 1530693 2040924 2721232 3061386 4081848 5442464 6122772 8163696 12245544 16327392 24491088 48982176