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1038828 = 223783149
BaseRepresentation
bin11111101100111101100
31221210000010
43331213230
5231220303
634133220
711554440
oct3754754
91853003
101038828
1164a53a
12421210
132a4abb
141d0820
15157c03
hexfd9ec

1038828 has 48 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 291264.

The previous prime is 1038827. The next prime is 1038833. The reversal of 1038828 is 8288301.

It is a super-2 number, since 2×10388282 = 2158327227168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1038795 and 1038804.

It is not an unprimeable number, because it can be changed into a prime (1038823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6898 + ... + 7046.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

21038828 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 1038828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

1038828 is an abundant number, since it is smaller than the sum of its proper divisors (1783572).

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

1038828 is a wasteful number, since it uses less digits than its factorization.

1038828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1038828 is about 1019.2291204631. The cubic root of 1038828 is about 101.2778676530.

The spelling of 1038828 in words is "one million, thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 149 166 249 298 332 447 498 581 596 894 996 1043 1162 1743 1788 2086 2324 3129 3486 4172 6258 6972 12367 12516 24734 37101 49468 74202 86569 148404 173138 259707 346276 519414 1038828