Search a number
-
+
190828374 = 231123161139
BaseRepresentation
bin10110101111111…
…00111101010110
3111022002002022120
423113330331112
5342323001444
630534040410
74505004642
oct1327747526
9438062276
10190828374
1198799200
1253aa9106
13306c57c9
141b4b5c22
1511b46b19
hexb5fcf56

190828374 has 96 divisors (see below), whose sum is σ = 443304960. Its totient is φ = 54648000.

The previous prime is 190828373. The next prime is 190828399. The reversal of 190828374 is 473828091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190828373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372797 + ... + 1372935.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2190828374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190828374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

190828374 is an abundant number, since it is smaller than the sum of its proper divisors (252476586).

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

190828374 is a wasteful number, since it uses less digits than its factorization.

190828374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 190828374 is about 13814.0643548523. The cubic root of 190828374 is about 575.7239767863.

The spelling of 190828374 in words is "one hundred ninety million, eight hundred twenty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 93 121 122 139 183 186 242 278 341 363 366 417 671 682 726 834 1023 1342 1529 1891 2013 2046 3058 3751 3782 4026 4309 4587 5673 7381 7502 8479 8618 9174 11253 11346 12927 14762 16819 16958 20801 22143 22506 25437 25854 33638 41602 44286 47399 50457 50874 62403 93269 94798 100914 124806 142197 186538 228811 262849 279807 284394 457622 521389 525698 559614 686433 788547 1025959 1042778 1372866 1564167 1577094 2051918 2891339 3077877 3128334 5782678 6155754 8674017 17348034 31804729 63609458 95414187 190828374