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38528676 = 22331791993
BaseRepresentation
bin1001001011111…
…0011010100100
32200111110102000
42102332122210
534330404201
63453445300
7645326334
oct222763244
980443360
1038528676
111a82618a
1210aa0830
137c9cc44
14518d0c4
1535b0d86
hex24be6a4

38528676 has 48 divisors (see below), whose sum is σ = 100497600. Its totient is φ = 12764736.

The previous prime is 38528671. The next prime is 38528687. The reversal of 38528676 is 67682583.

38528676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38528671) 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, 18336 + ... + 20328.

It is an arithmetic number, because the mean of its divisors is an integer number (2093700).

Almost surely, 238528676 is an apocalyptic number.

38528676 is a gapful number since it is divisible by the number (36) 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 38528676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50248800).

38528676 is an abundant number, since it is smaller than the sum of its proper divisors (61968924).

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

38528676 is a wasteful number, since it uses less digits than its factorization.

38528676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38528676 is about 6207.1471708024. The cubic root of 38528676 is about 337.7494846678.

Adding to 38528676 its product of digits (483840), we get a square (39012516 = 62462).

It can be divided in two parts, 38528 and 676, that added together give a square (39204 = 1982).

The spelling of 38528676 in words is "thirty-eight million, five hundred twenty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 1993 2148 3222 3986 4833 5979 6444 7972 9666 11958 17937 19332 23916 35874 53811 71748 107622 215244 356747 713494 1070241 1426988 2140482 3210723 4280964 6421446 9632169 12842892 19264338 38528676