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382456880050 = 25272156104849
BaseRepresentation
bin1011001000011000011…
…01001101101110110010
31100120012002002112120111
411210030031031232302
522231232430130200
6451410454131534
736426431561500
oct5441415155662
91316162075514
10382456880050
11138220a35763
1262158050baa
132a0b0c761ab
1414722305670
159e366dc0ba
hex590c34dbb2

382456880050 has 36 divisors (see below), whose sum is σ = 827511809850. Its totient is φ = 131128072320.

The previous prime is 382456880017. The next prime is 382456880051. The reversal of 382456880050 is 50088654283.

It can be written as a sum of positive squares in 3 ways, for example, as 222007765329 + 160449114721 = 471177^2 + 400561^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 382456879976 and 382456880003.

It is not an unprimeable number, because it can be changed into a prime (382456880051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78049975 + ... + 78054874.

Almost surely, 2382456880050 is an apocalyptic number.

382456880050 is an abundant number, since it is smaller than the sum of its proper divisors (445054929800).

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

382456880050 is a wasteful number, since it uses less digits than its factorization.

382456880050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156104875 (or 156104863 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 382456880050 in words is "three hundred eighty-two billion, four hundred fifty-six million, eight hundred eighty thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 156104849 312209698 780524245 1092733943 1561048490 2185467886 3902621225 5463669715 7649137601 7805242450 10927339430 15298275202 27318348575 38245688005 54636697150 76491376010 191228440025 382456880050