Search a number
-
+
36425368 = 2371076079
BaseRepresentation
bin1000101011110…
…0111010011000
32112112121012201
42022330322120
533311102433
63340415544
7621416260
oct212747230
975477181
1036425368
1119619a11
12102475b4
137714795
144ba27a0
1532e7a7d
hex22bce98

36425368 has 32 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 15462432.

The previous prime is 36425351. The next prime is 36425369. The reversal of 36425368 is 86352463.

36425368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36425369) 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 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 9031.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 236425368 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 36425368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

36425368 is an abundant number, since it is smaller than the sum of its proper divisors (42371432).

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

36425368 is a wasteful number, since it uses less digits than its factorization.

36425368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6195 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 36425368 is about 6035.3432379609. The cubic root of 36425368 is about 331.4881307520.

The spelling of 36425368 in words is "thirty-six million, four hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5992 6079 12158 24316 42553 48632 85106 170212 340424 650453 1300906 2601812 4553171 5203624 9106342 18212684 36425368