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387252 = 223231347
BaseRepresentation
bin1011110100010110100
3201200012200
41132202310
544343002
612144500
73202005
oct1364264
9650180
10387252
11244a48
12168130
13107358
14a11ac
1579b1c
hex5e8b4

387252 has 36 divisors (see below), whose sum is σ = 1013376. Its totient is φ = 124560.

The previous prime is 387227. The next prime is 387253. The reversal of 387252 is 252783.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3872522 = 299928223008, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387253) by changing a digit.

387252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 943 + ... + 1289.

2387252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506688).

387252 is an abundant number, since it is smaller than the sum of its proper divisors (626124).

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

387252 is a wasteful number, since it uses less digits than its factorization.

387252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 387252 is about 622.2957496239. The cubic root of 387252 is about 72.8894304083.

The spelling of 387252 in words is "three hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 347 372 558 694 1041 1116 1388 2082 3123 4164 6246 10757 12492 21514 32271 43028 64542 96813 129084 193626 387252