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104748480 = 2632537983
BaseRepresentation
bin1100011111001…
…01010111000000
321022002202220100
412033211113000
5203303422410
614221042400
72411230104
oct617452700
9238082810
10104748480
11541450a1
122b0b6400
1318916c65
14dca9904
1592e18c0
hex63e55c0

104748480 has 168 divisors, whose sum is σ = 370405152. Its totient is φ = 27150336.

The previous prime is 104748451. The next prime is 104748487. The reversal of 104748480 is 84847401.

It is a happy number.

104748480 is a `hidden beast` number, since 104 + 74 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104748487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106069 + ... + 107051.

Almost surely, 2104748480 is an apocalyptic number.

104748480 is a gapful number since it is divisible by the number (10) 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 104748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185202576).

104748480 is an abundant number, since it is smaller than the sum of its proper divisors (265656672).

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

104748480 is a wasteful number, since it uses less digits than its factorization.

104748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 104748480 is about 10234.6704881007. The cubic root of 104748480 is about 471.3924002157.

The spelling of 104748480 in words is "one hundred four million, seven hundred forty-eight thousand, four hundred eighty".