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36425248 = 253173503
BaseRepresentation
bin1000101011110…
…0111000100000
32112112121001021
42022330320200
533311101443
63340415224
7621416026
oct212747040
975477037
1036425248
1119619912
1210247514
137714702
144ba2716
1532e79ed
hex22bce20

36425248 has 48 divisors (see below), whose sum is σ = 75188736. Its totient is φ = 17349120.

The previous prime is 36425239. The next prime is 36425267. The reversal of 36425248 is 84252463.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72165 + ... + 72667.

It is an arithmetic number, because the mean of its divisors is an integer number (1566432).

Almost surely, 236425248 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 36425248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37594368).

36425248 is an abundant number, since it is smaller than the sum of its proper divisors (38763488).

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

36425248 is a wasteful number, since it uses less digits than its factorization.

36425248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 36425248 is about 6035.3332965131. Note that the first 3 decimals coincide. The cubic root of 36425248 is about 331.4877667326.

The spelling of 36425248 in words is "thirty-six million, four hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 503 584 992 1006 1168 2012 2263 2336 4024 4526 8048 9052 15593 16096 18104 31186 36208 36719 62372 72416 73438 124744 146876 249488 293752 498976 587504 1138289 1175008 2276578 4553156 9106312 18212624 36425248