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104248512 = 2633234361
BaseRepresentation
bin1100011011010…
…11010011000000
321021011101002000
412031223103000
5203141423022
614202224000
72404045344
oct615532300
9237141060
10104248512
11539334a5
122aab5000
13187a0514
14dbb9624
1592436ac
hex636b4c0

104248512 has 224 divisors, whose sum is σ = 332597760. Its totient is φ = 31933440.

The previous prime is 104248511. The next prime is 104248523. The reversal of 104248512 is 215842401.

104248512 is a `hidden beast` number, since 104 + 2 + 48 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104248511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708962 + ... + 1709022.

Almost surely, 2104248512 is an apocalyptic number.

104248512 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 104248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166298880).

104248512 is an abundant number, since it is smaller than the sum of its proper divisors (228349248).

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

104248512 is a wasteful number, since it uses less digits than its factorization.

104248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104248512 is about 10210.2160603975. The cubic root of 104248512 is about 470.6412132317.

The spelling of 104248512 in words is "one hundred four million, two hundred forty-eight thousand, five hundred twelve".