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36048012 = 223711133001
BaseRepresentation
bin1000100110000…
…0110010001100
32111211102120120
42021200302030
533212014022
63324344540
7615255150
oct211406214
974742516
1036048012
1119391450
12100a5150
137611ab0
144b05060
153270d5c
hex2260c8c

36048012 has 96 divisors (see below), whose sum is σ = 112971264. Its totient is φ = 8640000.

The previous prime is 36047993. The next prime is 36048029. The reversal of 36048012 is 21084063.

It is a happy number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10512 + ... + 13512.

It is an arithmetic number, because the mean of its divisors is an integer number (1176784).

Almost surely, 236048012 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 36048012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56485632).

36048012 is an abundant number, since it is smaller than the sum of its proper divisors (76923252).

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

36048012 is a wasteful number, since it uses less digits than its factorization.

36048012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36048012 is about 6003.9996668887. Note that the first 3 decimals coincide. The cubic root of 36048012 is about 330.3394486922.

The spelling of 36048012 in words is "thirty-six million, forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3001 3003 4004 6002 6006 9003 12004 12012 18006 21007 33011 36012 39013 42014 63021 66022 78026 84028 99033 117039 126042 132044 156052 198066 231077 234078 252084 273091 396132 429143 462154 468156 546182 693231 819273 858286 924308 1092364 1287429 1386462 1638546 1716572 2574858 2772924 3004001 3277092 5149716 6008002 9012003 12016004 18024006 36048012