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38928006 = 23313232411
BaseRepresentation
bin1001010001111…
…1111010000110
32201020202012000
42110133322012
534431144011
63510210130
7651611505
oct224377206
981222160
1038928006
111aa79207
1211053946
1380ac930
14525483c
15363e356
hex251fe86

38928006 has 64 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 11452320.

The previous prime is 38927981. The next prime is 38928031. The reversal of 38928006 is 60082983.

It is an interprime number because it is at equal distance from previous prime (38927981) and next prime (38928031).

It is a super-2 number, since 2×389280062 = 3030779302272072, which 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 31 ways as a sum of consecutive naturals, for example, 14941 + ... + 17351.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 238928006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38928006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

38928006 is an abundant number, since it is smaller than the sum of its proper divisors (58323834).

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

38928006 is a wasteful number, since it uses less digits than its factorization.

38928006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38928006 is about 6239.2312026403. The cubic root of 38928006 is about 338.9123432223.

The spelling of 38928006 in words is "thirty-eight million, nine hundred twenty-eight thousand, six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2411 2691 4822 5382 7233 8073 14466 16146 21699 31343 43398 55453 62686 65097 94029 110906 130194 166359 188058 282087 332718 499077 564174 720889 846261 998154 1441778 1497231 1692522 2162667 2994462 4325334 6488001 12976002 19464003 38928006