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190788352 = 283172351
BaseRepresentation
bin10110101111100…
…11001100000000
3111022000001102021
423113303030000
5342320211402
630533131224
74504450156
oct1327631400
9438001367
10190788352
1198771127
1253a89b14
13306b0521
141b4a53d6
1511b39d37
hexb5f3300

190788352 has 36 divisors (see below), whose sum is σ = 382195296. Its totient is φ = 95052800.

The previous prime is 190788341. The next prime is 190788407. The reversal of 190788352 is 253887091.

It is a junction number, because it is equal to n+sod(n) for n = 190788299 and 190788308.

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 3 ways as a sum of consecutive naturals, for example, 79977 + ... + 82327.

It is an arithmetic number, because the mean of its divisors is an integer number (10616536).

Almost surely, 2190788352 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 190788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191097648).

190788352 is an abundant number, since it is smaller than the sum of its proper divisors (191406944).

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

190788352 is an equidigital number, since it uses as much as digits as its factorization.

190788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 190788352 is about 13812.6156827735. The cubic root of 190788352 is about 575.6837255464.

The spelling of 190788352 in words is "one hundred ninety million, seven hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 317 634 1268 2351 2536 4702 5072 9404 10144 18808 20288 37616 40576 75232 81152 150464 300928 601856 745267 1490534 2981068 5962136 11924272 23848544 47697088 95394176 190788352