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8125416 = 2332138681
BaseRepresentation
bin11110111111101111101000
3120021210222100
4132333233220
54040003131
6450053400
7126031155
oct36775750
916253870
108125416
11464a822
12287a260
1318b6550
14111722c
15aa77e6
hex7bfbe8

8125416 has 48 divisors (see below), whose sum is σ = 23701860. Its totient is φ = 2499840.

The previous prime is 8125391. The next prime is 8125427. The reversal of 8125416 is 6145218.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 2916 = 2850^2 + 54^2 .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 8125416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3405 + ... + 5276.

Almost surely, 28125416 is an apocalyptic number.

It is an amenable number.

8125416 is an abundant number, since it is smaller than the sum of its proper divisors (15576444).

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

8125416 is a wasteful number, since it uses less digits than its factorization.

8125416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8699 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8125416 is about 2850.5115330410. The cubic root of 8125416 is about 201.0397188902.

The spelling of 8125416 in words is "eight million, one hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 8681 17362 26043 34724 52086 69448 78129 104172 112853 156258 208344 225706 312516 338559 451412 625032 677118 902824 1015677 1354236 2031354 2708472 4062708 8125416