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2082135348 = 223319279031
BaseRepresentation
bin111110000011010…
…1101110100110100
312101002220102202000
41330012231310310
513231011312343
6542335215300
7102411600306
oct17406556464
95332812660
102082135348
11979347117
124a1377530
132724a4667
1415a759976
15c2bd8ed3
hex7c1add34

2082135348 has 24 divisors (see below), whose sum is σ = 5398128960. Its totient is φ = 694045080.

The previous prime is 2082135347. The next prime is 2082135371. The reversal of 2082135348 is 8435312802.

It is a super-2 number, since 2×20821353482 = 8670575214782162208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082135343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9639408 + ... + 9639623.

It is an arithmetic number, because the mean of its divisors is an integer number (224922040).

Almost surely, 22082135348 is an apocalyptic number.

It is an amenable number.

2082135348 is an abundant number, since it is smaller than the sum of its proper divisors (3315993612).

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

2082135348 is a wasteful number, since it uses less digits than its factorization.

2082135348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279044 (or 19279036 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2082135348 is about 45630.4212998302. The cubic root of 2082135348 is about 1276.9375330606.

It can be divided in two parts, 20821 and 35348, that added together give a square (56169 = 2372).

The spelling of 2082135348 in words is "two billion, eighty-two million, one hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 19279031 38558062 57837093 77116124 115674186 173511279 231348372 347022558 520533837 694045116 1041067674 2082135348