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104755952 = 2472413881
BaseRepresentation
bin1100011111001…
…11001011110000
321022010011011002
412033213023300
5203304142302
614221141132
72411260640
oct617471360
9238104132
10104755952
115414a774
122b0ba7a8
131891a492
14dcac520
1592e3c02
hex63e72f0

104755952 has 40 divisors (see below), whose sum is σ = 232982112. Its totient is φ = 44697600.

The previous prime is 104755951. The next prime is 104755969. The reversal of 104755952 is 259557401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104755951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25052 + ... + 28932.

Almost surely, 2104755952 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 104755952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116491056).

104755952 is an abundant number, since it is smaller than the sum of its proper divisors (128226160).

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

104755952 is a wasteful number, since it uses less digits than its factorization.

104755952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The square root of 104755952 is about 10235.0355153268. The cubic root of 104755952 is about 471.4036085256.

The spelling of 104755952 in words is "one hundred four million, seven hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 3881 6748 7762 13496 15524 26992 27167 31048 54334 62096 108668 217336 434672 935321 1870642 3741284 6547247 7482568 13094494 14965136 26188988 52377976 104755952