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10055752 = 237792273
BaseRepresentation
bin100110010111…
…000001001000
3200220212220021
4212113001020
510033241002
6555310224
7151321030
oct46270110
920825807
1010055752
115749043
12344b374
132111065
14149a8c0
15d39737
hex997048

10055752 has 32 divisors (see below), whose sum is σ = 21830400. Its totient is φ = 4253184.

The previous prime is 10055741. The next prime is 10055777. The reversal of 10055752 is 25755001.

It is a happy number.

It is a super-2 number, since 2×100557522 = 202236296571008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288 + ... + 5560.

It is an arithmetic number, because the mean of its divisors is an integer number (682200).

Almost surely, 210055752 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 10055752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915200).

10055752 is an abundant number, since it is smaller than the sum of its proper divisors (11774648).

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

10055752 is a wasteful number, since it uses less digits than its factorization.

10055752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 10055752 is about 3171.0805729278. The cubic root of 10055752 is about 215.8431073756.

The spelling of 10055752 in words is "ten million, fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 2273 4424 4546 9092 15911 18184 31822 63644 127288 179567 359134 718268 1256969 1436536 2513938 5027876 10055752