Search a number
-
+
38363500 = 2253797113
BaseRepresentation
bin1001001001011…
…0000101101100
32200012001211101
42102112011230
534310113000
63450132444
7644040640
oct222260554
980161741
1038363500
111a72307a
1210a21124
137c429c6
145148c20
15357be6a
hex249616c

38363500 has 96 divisors (see below), whose sum is σ = 97598592. Its totient is φ = 12902400.

The previous prime is 38363497. The next prime is 38363503. The reversal of 38363500 is 536383.

It is an interprime number because it is at equal distance from previous prime (38363497) and next prime (38363503).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (38363503) by changing a digit.

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, 339444 + ... + 339556.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 238363500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38363500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799296).

38363500 is an abundant number, since it is smaller than the sum of its proper divisors (59235092).

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

38363500 is a wasteful number, since it uses less digits than its factorization.

38363500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 38363500 is about 6193.8275726727. The cubic root of 38363500 is about 337.2661388587.

Adding to 38363500 its reverse (536383), we get a palindrome (38899883).

The spelling of 38363500 in words is "thirty-eight million, three hundred sixty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 113 125 140 175 194 226 250 350 388 452 485 500 565 679 700 791 875 970 1130 1358 1582 1750 1940 2260 2425 2716 2825 3164 3395 3500 3955 4850 5650 6790 7910 9700 10961 11300 12125 13580 14125 15820 16975 19775 21922 24250 28250 33950 39550 43844 48500 54805 56500 67900 76727 79100 84875 98875 109610 153454 169750 197750 219220 274025 306908 339500 383635 395500 548050 767270 1096100 1370125 1534540 1918175 2740250 3836350 5480500 7672700 9590875 19181750 38363500