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182127968 = 25114211229
BaseRepresentation
bin10101101101100…
…00110101100000
3110200201001121022
422312300311200
5333111043333
630023345012
74341030221
oct1266606540
9420631538
10182127968
1193896490
1250bb2168
132b96a639
141a28d248
1510ec8c98
hexadb0d60

182127968 has 48 divisors (see below), whose sum is σ = 392409360. Its totient is φ = 82521600.

The previous prime is 182127941. The next prime is 182127973. The reversal of 182127968 is 869721281.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147578 + ... + 148806.

It is an arithmetic number, because the mean of its divisors is an integer number (8175195).

Almost surely, 2182127968 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 182127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196204680).

182127968 is an abundant number, since it is smaller than the sum of its proper divisors (210281392).

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

182127968 is a wasteful number, since it uses less digits than its factorization.

182127968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 182127968 is about 13495.4795394606. The cubic root of 182127968 is about 566.8379004241.

The spelling of 182127968 in words is "one hundred eighty-two million, one hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 421 842 1229 1684 2458 3368 4631 4916 6736 9262 9832 13472 13519 18524 19664 27038 37048 39328 54076 74096 108152 148192 216304 432608 517409 1034818 2069636 4139272 5691499 8278544 11382998 16557088 22765996 45531992 91063984 182127968