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382148442 = 23413181457
BaseRepresentation
bin10110110001110…
…001111101011010
3222122002011010000
4112301301331122
51240312222232
6101530433430
712320131254
oct2661617532
9878064100
10382148442
11186792865
12a7b92876
1361231050
1438a78cd4
152383927c
hex16c71f5a

382148442 has 40 divisors (see below), whose sum is σ = 922169556. Its totient is φ = 117583488.

The previous prime is 382148411. The next prime is 382148443. The reversal of 382148442 is 244841283.

It can be written as a sum of positive squares in 2 ways, for example, as 378263601 + 3884841 = 19449^2 + 1971^2 .

It is a junction number, because it is equal to n+sod(n) for n = 382148397 and 382148406.

It is not an unprimeable number, because it can be changed into a prime (382148443) 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 19 ways as a sum of consecutive naturals, for example, 88623 + ... + 92834.

Almost surely, 2382148442 is an apocalyptic number.

382148442 is an abundant number, since it is smaller than the sum of its proper divisors (540021114).

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

382148442 is a wasteful number, since it uses less digits than its factorization.

382148442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181484 (or 181475 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 382148442 is about 19548.6173935652. The cubic root of 382148442 is about 725.6781238273.

It can be divided in two parts, 38214 and 8442, that added together give a 6-th power (46656 = 66).

The spelling of 382148442 in words is "three hundred eighty-two million, one hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 181457 362914 544371 1088742 1633113 2358941 3266226 4717882 4899339 7076823 9798678 14153646 14698017 21230469 29396034 42460938 63691407 127382814 191074221 382148442