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10413828 = 2232289273
BaseRepresentation
bin100111101110…
…011100000100
3201121002002100
4213232130010
510131220303
61011112100
7154342005
oct47563404
921532070
1010413828
115973077
1235a2630
132208039
1415511ac
15daa8a3
hex9ee704

10413828 has 18 divisors (see below), whose sum is σ = 26323934. Its totient is φ = 3471264.

The previous prime is 10413773. The next prime is 10413833. The reversal of 10413828 is 82831401.

10413828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10227204 + 186624 = 3198^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×104138282 = 216895627227168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144601 + ... + 144672.

Almost surely, 210413828 is an apocalyptic number.

10413828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10413828 is an abundant number, since it is smaller than the sum of its proper divisors (15910106).

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

10413828 is a wasteful number, since it uses less digits than its factorization.

10413828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289283 (or 289278 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10413828 is about 3227.0463275261. The cubic root of 10413828 is about 218.3752759518.

The spelling of 10413828 in words is "ten million, four hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 289273 578546 867819 1157092 1735638 2603457 3471276 5206914 10413828