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161585052 = 223101133321
BaseRepresentation
bin10011010000110…
…01011110011100
3102021001101000120
421220121132130
5312331210202
624011154540
74001310306
oct1150313634
9367041016
10161585052
1183235272
1246145a50
1327627075
1417662976
15e2bc0bc
hex9a1979c

161585052 has 24 divisors (see below), whose sum is σ = 380767632. Its totient is φ = 53328000.

The previous prime is 161585041. The next prime is 161585057. The reversal of 161585052 is 250585161.

161585052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1615850522 = 52219458059685408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161585057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65449 + ... + 67872.

It is an arithmetic number, because the mean of its divisors is an integer number (15865318).

Almost surely, 2161585052 is an apocalyptic number.

161585052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161585052 is an abundant number, since it is smaller than the sum of its proper divisors (219182580).

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

161585052 is a wasteful number, since it uses less digits than its factorization.

161585052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133429 (or 133427 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 161585052 is about 12711.6109128623. The cubic root of 161585052 is about 544.6703412759.

The spelling of 161585052 in words is "one hundred sixty-one million, five hundred eighty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 133321 266642 399963 533284 799926 1599852 13465421 26930842 40396263 53861684 80792526 161585052