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36272852 = 227112931131
BaseRepresentation
bin1000101001011…
…1101011010100
32112020211222222
42022113223110
533241212402
63333241512
7620212520
oct212275324
975224888
1036272852
1119525370
1210193298
137690235
144b62d80
1532b77a2
hex2297ad4

36272852 has 96 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 13104000.

The previous prime is 36272833. The next prime is 36272869. The reversal of 36272852 is 25827263.

36272852 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, 276827 + ... + 276957.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 236272852 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 36272852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

36272852 is an abundant number, since it is smaller than the sum of its proper divisors (48882988).

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

36272852 is a wasteful number, since it uses less digits than its factorization.

36272852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 36272852 is about 6022.6947457098. The cubic root of 36272852 is about 331.0248275326.

The spelling of 36272852 in words is "thirty-six million, two hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 31 44 58 62 77 116 124 131 154 203 217 262 308 319 341 406 434 524 638 682 812 868 899 917 1276 1364 1441 1798 1834 2233 2387 2882 3596 3668 3799 4061 4466 4774 5764 6293 7598 8122 8932 9548 9889 10087 12586 15196 16244 19778 20174 25172 26593 28427 39556 40348 41789 44671 53186 56854 69223 83578 89342 106372 113708 117769 138446 167156 178684 235538 276892 292523 312697 471076 585046 625394 824383 1170092 1250788 1295459 1648766 2590918 3297532 5181836 9068213 18136426 36272852