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13350048 = 253592357
BaseRepresentation
bin110010111011…
…010010100000
3221010020211020
4302323102200
511404200143
61154045440
7221321265
oct62732240
927106736
1013350048
1175990a8
124579880
1329c564a
141ab726c
15128a883
hexcbb4a0

13350048 has 48 divisors (see below), whose sum is σ = 35652960. Its totient is φ = 4372736.

The previous prime is 13350041. The next prime is 13350053. The reversal of 13350048 is 84005331.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13350041) by changing a digit.

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, 4486 + ... + 6842.

It is an arithmetic number, because the mean of its divisors is an integer number (742770).

Almost surely, 213350048 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 13350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826480).

13350048 is an abundant number, since it is smaller than the sum of its proper divisors (22302912).

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

13350048 is a wasteful number, since it uses less digits than its factorization.

13350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13350048 is about 3653.7717498497. The cubic root of 13350048 is about 237.2252660662.

Adding to 13350048 its reverse (84005331), we get a palindrome (97355379).

The spelling of 13350048 in words is "thirteen million, three hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2357 2832 4714 5664 7071 9428 14142 18856 28284 37712 56568 75424 113136 139063 226272 278126 417189 556252 834378 1112504 1668756 2225008 3337512 4450016 6675024 13350048