Search a number
-
+
387081252 = 2232311512297
BaseRepresentation
bin10111000100100…
…110010000100100
3222222100202122200
4113010212100210
51243043100002
6102224254500
712410064525
oct2704462044
9888322580
10387081252
11189551968
12a9771430
136226a37c
14395a084c
1523eb0b1c
hex17126424

387081252 has 72 divisors (see below), whose sum is σ = 1017149952. Its totient is φ = 123984000.

The previous prime is 387081229. The next prime is 387081263. The reversal of 387081252 is 252180783.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167368 + ... + 169664.

Almost surely, 2387081252 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 387081252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508574976).

387081252 is an abundant number, since it is smaller than the sum of its proper divisors (630068700).

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

387081252 is a wasteful number, since it uses less digits than its factorization.

387081252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 387081252 is about 19674.3806001612. The cubic root of 387081252 is about 728.7871597766.

The spelling of 387081252 in words is "three hundred eighty-seven million, eighty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 151 186 279 302 372 453 558 604 906 1116 1359 1812 2297 2718 4594 4681 5436 6891 9188 9362 13782 14043 18724 20673 27564 28086 41346 42129 56172 71207 82692 84258 142414 168516 213621 284828 346847 427242 640863 693694 854484 1040541 1281726 1387388 2081082 2563452 3121623 4162164 6243246 10752257 12486492 21504514 32256771 43009028 64513542 96770313 129027084 193540626 387081252