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36125364 = 223112373163
BaseRepresentation
bin1000100111001…
…1101010110100
32111222100200110
42021303222310
533222002424
63330143020
7616026522
oct211635264
974870613
1036125364
1119434580
1210121a70
13763b072
144b25312
153288c29
hex2273ab4

36125364 has 96 divisors (see below), whose sum is σ = 97864704. Its totient is φ = 10264320.

The previous prime is 36125317. The next prime is 36125399. The reversal of 36125364 is 46352163.

36125364 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 221547 + ... + 221709.

It is an arithmetic number, because the mean of its divisors is an integer number (1019424).

Almost surely, 236125364 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 36125364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48932352).

36125364 is an abundant number, since it is smaller than the sum of its proper divisors (61739340).

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

36125364 is a wasteful number, since it uses less digits than its factorization.

36125364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 36125364 is about 6010.4379208174. The cubic root of 36125364 is about 330.5755612223.

The spelling of 36125364 in words is "thirty-six million, one hundred twenty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 73 92 132 138 146 163 219 253 276 292 326 438 489 506 652 759 803 876 978 1012 1518 1606 1679 1793 1956 2409 3036 3212 3358 3586 3749 4818 5037 5379 6716 7172 7498 9636 10074 10758 11247 11899 14996 18469 20148 21516 22494 23798 35697 36938 41239 44988 47596 55407 71394 73876 82478 110814 123717 130889 142788 164956 221628 247434 261778 273677 392667 494868 523556 547354 785334 821031 1094708 1570668 1642062 3010447 3284124 6020894 9031341 12041788 18062682 36125364