Search a number
-
+
182189056 = 210723631
BaseRepresentation
bin10101101101111…
…11110000000000
3110200211011101211
422312333300000
5333120022211
630024535504
74341403300
oct1266776000
9420734354
10182189056
1193928375
1251021594
132b98c39a
141a2a7600
1510edbe21
hexadbfc00

182189056 has 66 divisors (see below), whose sum is σ = 423778128. Its totient is φ = 78059520.

The previous prime is 182189027. The next prime is 182189057. The reversal of 182189056 is 650981281.

182189056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1821890562 = 66385704252342272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182189057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48361 + ... + 51991.

Almost surely, 2182189056 is an apocalyptic number.

182189056 is a gapful number since it is divisible by the number (16) 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 182189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211889064).

182189056 is an abundant number, since it is smaller than the sum of its proper divisors (241589072).

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

182189056 is an equidigital number, since it uses as much as digits as its factorization.

182189056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 182189056 is about 13497.7426260838. The cubic root of 182189056 is about 566.9012681820.

The spelling of 182189056 in words is "one hundred eighty-two million, one hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 3631 6272 7168 7262 12544 14524 25088 25417 29048 50176 50834 58096 101668 116192 177919 203336 232384 355838 406672 464768 711676 813344 929536 1423352 1626688 1859072 2846704 3253376 3718144 5693408 6506752 11386816 13013504 22773632 26027008 45547264 91094528 182189056