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80253765 = 3258572081
BaseRepresentation
bin1001100100010…
…01001101000101
312121000022110200
410302021031011
5131021110030
611544041113
71663100664
oct462111505
9177008420
1080253765
1141334929
1222a63199
131381ba47
14a930ddb
1570a3d60
hex4c89345

80253765 has 24 divisors (see below), whose sum is σ = 139335768. Its totient is φ = 42731520.

The previous prime is 80253763. The next prime is 80253799. The reversal of 80253765 is 56735208.

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 60699681 = 4422^2 + 7791^2 .

It is not a de Polignac number, because 80253765 - 21 = 80253763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80253763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37525 + ... + 39605.

It is an arithmetic number, because the mean of its divisors is an integer number (5805657).

Almost surely, 280253765 is an apocalyptic number.

It is an amenable number.

80253765 is a deficient number, since it is larger than the sum of its proper divisors (59082003).

80253765 is a wasteful number, since it uses less digits than its factorization.

80253765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 80253765 is about 8958.4465729277. The cubic root of 80253765 is about 431.3420572221.

It can be divided in two parts, 80253 and 765, that added together give a palindrome (81018).

The spelling of 80253765 in words is "eighty million, two hundred fifty-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 857 2081 2571 4285 6243 7713 10405 12855 18729 31215 38565 93645 1783417 5350251 8917085 16050753 26751255 80253765