Search a number
-
+
39245248 = 267175153
BaseRepresentation
bin1001010110110…
…1010111000000
32201211212100201
42111231113000
540021321443
63521054544
7654402430
oct225552700
981755321
1039245248
1120175599
1211187454
138191153
1452d82c0
1536a334d
hex256d5c0

39245248 has 56 divisors (see below), whose sum is σ = 94256352. Its totient is φ = 15826944.

The previous prime is 39245221. The next prime is 39245249. The reversal of 39245248 is 84254293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39245249) 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, 5040 + ... + 10192.

Almost surely, 239245248 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 39245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47128176).

39245248 is an abundant number, since it is smaller than the sum of its proper divisors (55011104).

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

39245248 is a wasteful number, since it uses less digits than its factorization.

39245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5179 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 39245248 is about 6264.6027807037. The cubic root of 39245248 is about 339.8305037523.

It can be divided in two parts, 39245 and 248, that added together give a palindrome (39493).

The spelling of 39245248 in words is "thirty-nine million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 5153 7616 10306 20612 36071 41224 72142 82448 87601 144284 164896 175202 288568 329792 350404 577136 613207 700808 1154272 1226414 1401616 2308544 2452828 2803232 4905656 5606464 9811312 19622624 39245248