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38901930 = 23519139491
BaseRepresentation
bin1001010001100…
…1100010101010
32201012102102020
42110121202222
534424330210
63505445310
7651442464
oct224314252
981172366
1038901930
111aa60661
1211040836
1380a0ac2
145249134
153636770
hex25198aa

38901930 has 64 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 9737280.

The previous prime is 38901893. The next prime is 38901959. The reversal of 38901930 is 3910983.

It is a junction number, because it is equal to n+sod(n) for n = 38901891 and 38901900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78985 + ... + 79475.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 238901930 is an apocalyptic number.

38901930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38901930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

38901930 is an abundant number, since it is smaller than the sum of its proper divisors (60285270).

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

38901930 is a wasteful number, since it uses less digits than its factorization.

38901930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 38901930 is about 6237.1411720435. The cubic root of 38901930 is about 338.8366526234.

The spelling of 38901930 in words is "thirty-eight million, nine hundred one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 278 285 417 491 570 695 834 982 1390 1473 2085 2455 2641 2946 4170 4910 5282 7365 7923 9329 13205 14730 15846 18658 26410 27987 39615 46645 55974 68249 79230 93290 136498 139935 204747 279870 341245 409494 682490 1023735 1296731 2047470 2593462 3890193 6483655 7780386 12967310 19450965 38901930