Search a number
-
+
38025696 = 253419661
BaseRepresentation
bin1001000100001…
…1100111100000
32122112220110010
42101003213200
534213310241
63435004520
7641133042
oct221034740
978486403
1038025696
111a5122a5
1210899740
137b55017
14509ba92
153511d16
hex24439e0

38025696 has 48 divisors (see below), whose sum is σ = 102262608. Its totient is φ = 12364800.

The previous prime is 38025619. The next prime is 38025697. The reversal of 38025696 is 69652083.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38025697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895 + ... + 8766.

It is an arithmetic number, because the mean of its divisors is an integer number (2130471).

Almost surely, 238025696 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 38025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51131304).

38025696 is an abundant number, since it is smaller than the sum of its proper divisors (64236912).

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

38025696 is a wasteful number, since it uses less digits than its factorization.

38025696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 38025696 is about 6166.4978715637. The cubic root of 38025696 is about 336.2733037105.

The spelling of 38025696 in words is "thirty-eight million, twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 9661 19322 28983 38644 57966 77288 115932 154576 231864 309152 396101 463728 792202 927456 1188303 1584404 2376606 3168808 4753212 6337616 9506424 12675232 19012848 38025696