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1325511424 = 2825720147
BaseRepresentation
bin100111100000001…
…1011001100000000
310102101011221211201
41033000123030000
510203312331144
6335310150544
744563442536
oct11700331400
93371157751
101325511424
11620242396
1230bab2454
131817cabb3
14c8082156
157b57e1d4
hex4f01b300

1325511424 has 36 divisors (see below), whose sum is σ = 2656272024. Its totient is φ = 660144128.

The previous prime is 1325511401. The next prime is 1325511431. The reversal of 1325511424 is 4241155231.

It is a junction number, because it is equal to n+sod(n) for n = 1325511392 and 1325511401.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 55719 + ... + 75865.

It is an arithmetic number, because the mean of its divisors is an integer number (73785334).

Almost surely, 21325511424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325511424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328136012).

1325511424 is an abundant number, since it is smaller than the sum of its proper divisors (1330760600).

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

1325511424 is an equidigital number, since it uses as much as digits as its factorization.

1325511424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20420 (or 20406 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 1325511424 is about 36407.5737175660. The cubic root of 1325511424 is about 1098.4859124930.

Adding to 1325511424 its reverse (4241155231), we get a palindrome (5566666655).

The spelling of 1325511424 in words is "one billion, three hundred twenty-five million, five hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 257 514 1028 2056 4112 8224 16448 20147 32896 40294 65792 80588 161176 322352 644704 1289408 2578816 5157632 5177779 10355558 20711116 41422232 82844464 165688928 331377856 662755712 1325511424