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188382006 = 232232931553
BaseRepresentation
bin10110011101001…
…11101100110110
3111010110210112100
423032213230312
5341211211011
630405402530
74445135451
oct1316475466
9433423470
10188382006
119737820a
1253109446
133004a157
141b03a498
1511811d56
hexb3a7b36

188382006 has 48 divisors (see below), whose sum is σ = 427635936. Its totient is φ = 59820288.

The previous prime is 188381993. The next prime is 188382023. The reversal of 188382006 is 600283881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120526 + ... + 122078.

It is an arithmetic number, because the mean of its divisors is an integer number (8909082).

Almost surely, 2188382006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188382006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213817968).

188382006 is an abundant number, since it is smaller than the sum of its proper divisors (239253930).

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

188382006 is a wasteful number, since it uses less digits than its factorization.

188382006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 188382006 is about 13725.2324570479. The cubic root of 188382006 is about 573.2531797840.

The spelling of 188382006 in words is "one hundred eighty-eight million, three hundred eighty-two thousand, six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 414 586 879 1553 1758 2637 3106 4659 5274 6739 9318 13478 13977 20217 27954 35719 40434 60651 71438 107157 121302 214314 321471 455029 642942 910058 1365087 2730174 4095261 8190522 10465667 20931334 31397001 62794002 94191003 188382006