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38128540 = 22583103223
BaseRepresentation
bin1001000101110…
…0101110011100
32122202010112011
42101130232130
534230103130
63441121004
7642041632
oct221345634
978663464
1038128540
111a58259a
1210929164
137b8ca88
1450c7352
15353252a
hex245cb9c

38128540 has 48 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 14854464.

The previous prime is 38128523. The next prime is 38128553. The reversal of 38128540 is 4582183.

38128540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 170869 + ... + 171091.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 238128540 is an apocalyptic number.

It is an amenable number.

38128540 is an abundant number, since it is smaller than the sum of its proper divisors (44059748).

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

38128540 is a wasteful number, since it uses less digits than its factorization.

38128540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 38128540 is about 6174.8311717811. The cubic root of 38128540 is about 336.5761915275.

The spelling of 38128540 in words is "thirty-eight million, one hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 103 166 206 223 332 412 415 446 515 830 892 1030 1115 1660 2060 2230 4460 8549 17098 18509 22969 34196 37018 42745 45938 74036 85490 91876 92545 114845 170980 185090 229690 370180 459380 1906427 3812854 7625708 9532135 19064270 38128540