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73831828 = 22721632311
BaseRepresentation
bin1000110011010…
…01010110010100
312010221001020011
410121221112110
5122400104303
611154250004
71554363100
oct431512624
9163831204
1073831828
1138748a44
1220886904
13123b0995
149b3c900
15673616d
hex4669594

73831828 has 36 divisors (see below), whose sum is σ = 151288032. Its totient is φ = 31434480.

The previous prime is 73831781. The next prime is 73831829. The reversal of 73831828 is 82813837.

It is a super-2 number, since 2×738318282 = 10902277651643168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73831829) 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, 30793 + ... + 33103.

Almost surely, 273831828 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 73831828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644016).

73831828 is an abundant number, since it is smaller than the sum of its proper divisors (77456204).

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

73831828 is a wasteful number, since it uses less digits than its factorization.

73831828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2483 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 73831828 is about 8592.5449082330. The cubic root of 73831828 is about 419.5153669286.

Subtracting 73831828 from its reverse (82813837), we obtain a square (8982009 = 29972).

The spelling of 73831828 in words is "seventy-three million, eight hundred thirty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 163 196 326 652 1141 2282 2311 4564 4622 7987 9244 15974 16177 31948 32354 64708 113239 226478 376693 452956 753386 1506772 2636851 5273702 10547404 18457957 36915914 73831828