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36056664 = 233477949
BaseRepresentation
bin1000100110001…
…0111001011000
32111211212110000
42021202321120
533212303124
63324453000
7615322320
oct211427130
974755400
1036056664
11193979a6
12100aa160
137615a07
144b08280
1532736c9
hex2262e58

36056664 has 80 divisors (see below), whose sum is σ = 115434000. Its totient is φ = 10300608.

The previous prime is 36056651. The next prime is 36056681. The reversal of 36056664 is 46665063.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 562 + ... + 8510.

It is an arithmetic number, because the mean of its divisors is an integer number (1442925).

Almost surely, 236056664 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 36056664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57717000).

36056664 is an abundant number, since it is smaller than the sum of its proper divisors (79377336).

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

36056664 is a wasteful number, since it uses less digits than its factorization.

36056664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 36056664 is about 6004.7201433539. The cubic root of 36056664 is about 330.3658751913.

The spelling of 36056664 in words is "thirty-six million, fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 7949 15898 23847 31796 47694 55643 63592 71541 95388 111286 143082 166929 190776 214623 222572 286164 333858 429246 445144 500787 572328 643869 667716 858492 1001574 1287738 1335432 1502361 1716984 2003148 2575476 3004722 4006296 4507083 5150952 6009444 9014166 12018888 18028332 36056664