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36082976 = 2517193491
BaseRepresentation
bin1000100110100…
…1010100100000
32111220012112112
42021221110200
533214123401
63325214452
7615462116
oct211512440
974805475
1036082976
1119405746
1210101428
137624997
144b13ab6
15327b3bb
hex2269520

36082976 has 48 divisors (see below), whose sum is σ = 79198560. Its totient is φ = 16081920.

The previous prime is 36082973. The next prime is 36082997. The reversal of 36082976 is 67928063.

It is not an unprimeable number, because it can be changed into a prime (36082973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8591 + ... + 12081.

It is an arithmetic number, because the mean of its divisors is an integer number (1649970).

Almost surely, 236082976 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 36082976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599280).

36082976 is an abundant number, since it is smaller than the sum of its proper divisors (43115584).

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

36082976 is a wasteful number, since it uses less digits than its factorization.

36082976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 36082976 is about 6006.9106868673. The cubic root of 36082976 is about 330.4462160804.

The spelling of 36082976 in words is "thirty-six million, eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 3491 5168 6982 10336 13964 27928 55856 59347 66329 111712 118694 132658 237388 265316 474776 530632 949552 1061264 1127593 1899104 2122528 2255186 4510372 9020744 18041488 36082976