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164200542 = 23112324703
BaseRepresentation
bin10011100100110…
…00000001011110
3102102222020210120
421302120001132
5314013404132
624143215410
74032452532
oct1162300136
9372866716
10164200542
1184761330
1246ba7566
13280316ac
1417b43bc2
15e63702c
hex9c9805e

164200542 has 48 divisors (see below), whose sum is σ = 374588928. Its totient is φ = 47584240.

The previous prime is 164200541. The next prime is 164200549. The reversal of 164200542 is 245002461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164200541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32563 + ... + 37265.

It is an arithmetic number, because the mean of its divisors is an integer number (7803936).

Almost surely, 2164200542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164200542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187294464).

164200542 is an abundant number, since it is smaller than the sum of its proper divisors (210388386).

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

164200542 is a wasteful number, since it uses less digits than its factorization.

164200542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164200542 is about 12814.0759323488. The cubic root of 164200542 is about 547.5933878770.

The spelling of 164200542 in words is "one hundred sixty-four million, two hundred thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 3174 4703 5819 9406 11638 14109 17457 28218 34914 51733 103466 108169 155199 216338 310398 324507 649014 1189859 2379718 2487887 3569577 4975774 7139154 7463661 14927322 27366757 54733514 82100271 164200542