Search a number
-
+
188287152 = 24367127461
BaseRepresentation
bin10110011100100…
…00100010110000
3111010021222102020
423032100202300
5341200142102
630403351440
74444262064
oct1316204260
9433258366
10188287152
1197312a19
1253082580
1330015c21
141b013aa4
15117e3bbc
hexb3908b0

188287152 has 80 divisors (see below), whose sum is σ = 498634752. Its totient is φ = 61205760.

The previous prime is 188287147. The next prime is 188287157. The reversal of 188287152 is 251782881.

188287152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (188287147) and next prime (188287157).

It is a super-2 number, since 2×1882871522 = 70904103216542208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (188287157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 408202 + ... + 408662.

Almost surely, 2188287152 is an apocalyptic number.

188287152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249317376).

188287152 is an abundant number, since it is smaller than the sum of its proper divisors (310347600).

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

188287152 is a wasteful number, since it uses less digits than its factorization.

188287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 188287152 is about 13721.7765613641. The cubic root of 188287152 is about 573.1569489263.

The spelling of 188287152 in words is "one hundred eighty-eight million, two hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 127 134 201 254 268 381 402 461 508 536 762 804 922 1016 1072 1383 1524 1608 1844 2032 2766 3048 3216 3688 5532 6096 7376 8509 11064 17018 22128 25527 30887 34036 51054 58547 61774 68072 92661 102108 117094 123548 136144 175641 185322 204216 234188 247096 351282 370644 408432 468376 494192 702564 741288 936752 1405128 1482576 2810256 3922649 7845298 11767947 15690596 23535894 31381192 47071788 62762384 94143576 188287152