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82378152 = 23321144141
BaseRepresentation
bin1001110100011…
…11110110101000
312202000020120200
410322033312220
5132042100102
612101352200
72020126353
oct472176650
9182006520
1082378152
1142555a1a
1223708660
13140b398c
14ad2529a
15737351c
hex4e8fda8

82378152 has 24 divisors (see below), whose sum is σ = 223107690. Its totient is φ = 27459360.

The previous prime is 82378151. The next prime is 82378159. The reversal of 82378152 is 25187328.

It can be written as a sum of positive squares in only one way, i.e., 77686596 + 4691556 = 8814^2 + 2166^2 .

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 not an unprimeable number, because it can be changed into a prime (82378151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 571999 + ... + 572142.

Almost surely, 282378152 is an apocalyptic number.

It is an amenable number.

82378152 is an abundant number, since it is smaller than the sum of its proper divisors (140729538).

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

82378152 is a wasteful number, since it uses less digits than its factorization.

82378152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144153 (or 1144146 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82378152 is about 9076.2410721620. The cubic root of 82378152 is about 435.1149597075.

The spelling of 82378152 in words is "eighty-two million, three hundred seventy-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1144141 2288282 3432423 4576564 6864846 9153128 10297269 13729692 20594538 27459384 41189076 82378152