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38067828 = 22317191977
BaseRepresentation
bin1001000100110…
…1111001110100
32122122001020120
42101031321310
534221132303
63435531540
7641366631
oct221157164
978561216
1038067828
111a540a17
12108b9bb0
137b6b256
1450ad188
15351e553
hex244de74

38067828 has 48 divisors (see below), whose sum is σ = 94639104. Its totient is φ = 11868160.

The previous prime is 38067823. The next prime is 38067851. The reversal of 38067828 is 82876083.

38067828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38067828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38067823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38476 + ... + 39452.

It is an arithmetic number, because the mean of its divisors is an integer number (1971648).

Almost surely, 238067828 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 38067828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47319552).

38067828 is an abundant number, since it is smaller than the sum of its proper divisors (56571276).

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

38067828 is a wasteful number, since it uses less digits than its factorization.

38067828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 38067828 is about 6169.9131274273. The cubic root of 38067828 is about 336.3974534210.

The spelling of 38067828 in words is "thirty-eight million, sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 977 1146 1954 2292 2931 3247 3908 5862 6494 9741 11724 12988 16609 19482 33218 38964 49827 66436 99654 186607 199308 373214 559821 746428 1119642 2239284 3172319 6344638 9516957 12689276 19033914 38067828