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38028002808 = 23319231141587
BaseRepresentation
bin100011011010101001…
…010100010111111000
310122011020101200220110
4203122221110113320
51110340132042213
625245252024320
72514240455565
oct433251242770
9118136350813
1038028002808
11151448a83a4
1274536020a0
133780661113
141baa72186c
15ec88065c3
hex8daa545f8

38028002808 has 96 divisors (see below), whose sum is σ = 103574453760. Its totient is φ = 11621378880.

The previous prime is 38028002767. The next prime is 38028002819. The reversal of 38028002808 is 80820082083.

38028002808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×380280028082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197791 + ... + 339377.

It is an arithmetic number, because the mean of its divisors is an integer number (1078900560).

Almost surely, 238028002808 is an apocalyptic number.

38028002808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38028002808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787226880).

38028002808 is an abundant number, since it is smaller than the sum of its proper divisors (65546450952).

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

38028002808 is a wasteful number, since it uses less digits than its factorization.

38028002808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141665 (or 141642 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 38028002808 in words is "thirty-eight billion, twenty-eight million, two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 361 372 456 589 722 744 1083 1178 1444 1767 2166 2356 2888 3534 4332 4712 7068 8664 11191 14136 22382 33573 44764 67146 89528 134292 141587 268584 283174 424761 566348 849522 1132696 1699044 2690153 3398088 4389197 5380306 8070459 8778394 10760612 13167591 16140918 17556788 21521224 26335182 32281836 35113576 51112907 52670364 64563672 83394743 102225814 105340728 153338721 166789486 204451628 250184229 306677442 333578972 408903256 500368458 613354884 667157944 1000736916 1226709768 1584500117 2001473832 3169000234 4753500351 6338000468 9507000702 12676000936 19014001404 38028002808