Search a number
-
+
38093250 = 2353133907
BaseRepresentation
bin1001000101010…
…0000111000010
32122200100010010
42101110013002
534222441000
63440245350
7641534016
oct221240702
978610103
1038093250
111a559028
1210910856
137b799b0
1450b8546
153526d50
hex24541c2

38093250 has 64 divisors (see below), whose sum is σ = 102420864. Its totient is φ = 9374400.

The previous prime is 38093213. The next prime is 38093257. The reversal of 38093250 is 5239083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38093257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7797 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (1600326).

Almost surely, 238093250 is an apocalyptic number.

38093250 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 38093250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51210432).

38093250 is an abundant number, since it is smaller than the sum of its proper divisors (64327614).

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

38093250 is a wasteful number, since it uses less digits than its factorization.

38093250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 38093250 is about 6171.9729422608. The cubic root of 38093250 is about 336.4723197279.

The spelling of 38093250 in words is "thirty-eight million, ninety-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 650 750 975 1625 1950 3250 3907 4875 7814 9750 11721 19535 23442 39070 50791 58605 97675 101582 117210 152373 195350 253955 293025 304746 488375 507910 586050 761865 976750 1269775 1465125 1523730 2539550 2930250 3809325 6348875 7618650 12697750 19046625 38093250