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80192025 = 34521992
BaseRepresentation
bin1001100011110…
…10001000011001
312120220011210000
410301322020121
5131012121100
611542443213
71662422664
oct461721031
9176804700
1080192025
11412a2501
1222a33509
13137c9904
14a9166db
157090900
hex4c7a219

80192025 has 45 divisors (see below), whose sum is σ = 149293551. Its totient is φ = 42554160.

The previous prime is 80191999. The next prime is 80192039. The reversal of 80192025 is 52029108.

The square root of 80192025 is 8955.

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

It can be written as a sum of positive squares in only one way, i.e., 28869129 + 51322896 = 5373^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-80192025 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 80192025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 402876 + ... + 403074.

Almost surely, 280192025 is an apocalyptic number.

80192025 is the 8955-th square number.

80192025 is the 4478-th centered octagonal number.

It is an amenable number.

80192025 is a deficient number, since it is larger than the sum of its proper divisors (69101526).

80192025 is an equidigital number, since it uses as much as digits as its factorization.

80192025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 80192025 is about 431.2314169686.

The spelling of 80192025 in words is "eighty million, one hundred ninety-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 199 225 405 597 675 995 1791 2025 2985 4975 5373 8955 14925 16119 26865 39601 44775 80595 118803 134325 198005 356409 402975 594015 990025 1069227 1782045 2970075 3207681 5346135 8910225 16038405 26730675 80192025