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104756328 = 233553887
BaseRepresentation
bin1100011111001…
…11010001101000
321022010011200000
412033213101220
5203304200303
614221143000
72411262015
oct617472150
9238104600
10104756328
115414aa86
122b0baa60
131891a6c1
14dcac70c
1592e3da3
hex63e7468

104756328 has 48 divisors (see below), whose sum is σ = 294228480. Its totient is φ = 34918128.

The previous prime is 104756321. The next prime is 104756339. The reversal of 104756328 is 823657401.

104756328 is a `hidden beast` number, since 10 + 4 + 7 + 5 + 632 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 104756292 and 104756301.

It is not an unprimeable number, because it can be changed into a prime (104756321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25000 + ... + 28887.

It is an arithmetic number, because the mean of its divisors is an integer number (6129760).

Almost surely, 2104756328 is an apocalyptic number.

104756328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104756328 is an abundant number, since it is smaller than the sum of its proper divisors (189472152).

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

104756328 is an equidigital number, since it uses as much as digits as its factorization.

104756328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53908 (or 53892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104756328 is about 10235.0538835905. The cubic root of 104756328 is about 471.4041725271.

It can be divided in two parts, 1047 and 56328, that added together give a palindrome (57375).

The spelling of 104756328 in words is "one hundred four million, seven hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 53887 107774 161661 215548 323322 431096 484983 646644 969966 1293288 1454949 1939932 2909898 3879864 4364847 5819796 8729694 11639592 13094541 17459388 26189082 34918776 52378164 104756328