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855038142 = 23272969431
BaseRepresentation
bin110010111101101…
…101100010111110
32012120220102211100
4302331231202332
53222342210032
6220502233530
730121463400
oct6275554276
92176812740
10855038142
113a97128a2
121ba4258a6
131081b353a
14817b4b70
15500e997c
hex32f6d8be

855038142 has 36 divisors (see below), whose sum is σ = 2155047336. Its totient is φ = 244296360.

The previous prime is 855038113. The next prime is 855038203. The reversal of 855038142 is 241830558.

It is a happy number.

855038142 is a `hidden beast` number, since 8 + 5 + 503 + 8 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 855038097 and 855038106.

It is a congruent number.

It is an unprimeable number.

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, 483834 + ... + 485597.

It is an arithmetic number, because the mean of its divisors is an integer number (59862426).

Almost surely, 2855038142 is an apocalyptic number.

855038142 is an abundant number, since it is smaller than the sum of its proper divisors (1300009194).

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

855038142 is a wasteful number, since it uses less digits than its factorization.

855038142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969453 (or 969443 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 855038142 is about 29241.0352415916. The cubic root of 855038142 is about 949.1361092037.

The spelling of 855038142 in words is "eight hundred fifty-five million, thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 969431 1938862 2908293 5816586 6786017 8724879 13572034 17449758 20358051 40716102 47502119 61074153 95004238 122148306 142506357 285012714 427519071 855038142