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36428328 = 2332505949
BaseRepresentation
bin1000101011110…
…1101000101000
32112112202021100
42022331220220
533311201303
63340441400
7621431016
oct212755050
975482240
1036428328
1119621162
1210249260
137715c31
144ba38b6
1532e88a3
hex22bda28

36428328 has 24 divisors (see below), whose sum is σ = 98660250. Its totient is φ = 12142752.

The previous prime is 36428303. The next prime is 36428341. The reversal of 36428328 is 82382463.

36428328 is a `hidden beast` number, since 3 + 642 + 8 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20412324 + 16016004 = 4518^2 + 4002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36428292 and 36428301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252903 + ... + 253046.

Almost surely, 236428328 is an apocalyptic number.

It is an amenable number.

36428328 is an abundant number, since it is smaller than the sum of its proper divisors (62231922).

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

36428328 is a wasteful number, since it uses less digits than its factorization.

36428328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505961 (or 505954 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36428328 is about 6035.5884551550. The cubic root of 36428328 is about 331.4971096436.

The spelling of 36428328 in words is "thirty-six million, four hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 505949 1011898 1517847 2023796 3035694 4047592 4553541 6071388 9107082 12142776 18214164 36428328