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8077401 = 3499721
BaseRepresentation
bin11110110100000001011001
3120012101010000
4132310001121
54031434101
6445043213
7125441163
oct36640131
916171100
108077401
114617742
122856509
13189a737
141103933
15a98486
hex7b4059

8077401 has 10 divisors (see below), whose sum is σ = 12066362. Its totient is φ = 5384880.

The previous prime is 8077387. The next prime is 8077403. The reversal of 8077401 is 1047708.

It can be written as a sum of positive squares in only one way, i.e., 6579225 + 1498176 = 2565^2 + 1224^2 .

It is not a de Polignac number, because 8077401 - 215 = 8044633 is a prime.

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

It is a Duffinian number.

8077401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8077403) 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 9 ways as a sum of consecutive naturals, for example, 49780 + ... + 49941.

Almost surely, 28077401 is an apocalyptic number.

8077401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8077401 is a deficient number, since it is larger than the sum of its proper divisors (3988961).

8077401 is an equidigital number, since it uses as much as digits as its factorization.

8077401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99733 (or 99724 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 8077401 is about 2842.0768814372. The cubic root of 8077401 is about 200.6429392641.

The spelling of 8077401 in words is "eight million, seventy-seven thousand, four hundred one".

Divisors: 1 3 9 27 81 99721 299163 897489 2692467 8077401