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36048016 = 24192792
BaseRepresentation
bin1000100110000…
…0110010010000
32111211102120201
42021200302100
533212014031
63324344544
7615255154
oct211406220
974742521
1036048016
1119391454
12100a5154
137611ab4
144b05064
153270d61
hex2260c90

36048016 has 45 divisors (see below), whose sum is σ = 74657331. Its totient is φ = 16859232.

The previous prime is 36047993. The next prime is 36048029. The reversal of 36048016 is 61084063.

The square root of 36048016 is 6004.

It is a perfect power (a square), and thus also a powerful number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456265 + ... + 456343.

Almost surely, 236048016 is an apocalyptic number.

36048016 is the 6004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36048016

36048016 is an abundant number, since it is smaller than the sum of its proper divisors (38609315).

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

36048016 is an equidigital number, since it uses as much as digits as its factorization.

36048016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 36048016 is about 330.3394609107.

The spelling of 36048016 in words is "thirty-six million, forty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 361 632 722 1264 1444 1501 2888 3002 5776 6004 6241 12008 12482 24016 24964 28519 49928 57038 99856 114076 118579 228152 237158 456304 474316 948632 1897264 2253001 4506002 9012004 18024008 36048016