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192138408 = 233272114951
BaseRepresentation
bin10110111001111…
…00110010101000
3111101112122100100
423130330302220
5343141412113
631022105400
74522102200
oct1334746250
9441478310
10192138408
1199503480
125441b260
1330a63b87
141b737400
1511d04d73
hexb73cca8

192138408 has 144 divisors (see below), whose sum is σ = 660497760. Its totient is φ = 49896000.

The previous prime is 192138407. The next prime is 192138439. The reversal of 192138408 is 804831291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (192138407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36333 + ... + 41283.

It is an arithmetic number, because the mean of its divisors is an integer number (4586790).

Almost surely, 2192138408 is an apocalyptic number.

192138408 is a gapful number since it is divisible by the number (18) 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 192138408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330248880).

192138408 is an abundant number, since it is smaller than the sum of its proper divisors (468359352).

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

192138408 is a wasteful number, since it uses less digits than its factorization.

192138408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 192138408 is about 13861.3999293001. The cubic root of 192138408 is about 577.0384190473.

Adding to 192138408 its reverse (804831291), we get a palindrome (996969699).

The spelling of 192138408 in words is "one hundred ninety-two million, one hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 4951 5544 6468 9702 9902 12936 14853 19404 19804 29706 34657 38808 39608 44559 54461 59412 69314 89118 103971 108922 118824 138628 163383 178236 207942 217844 242599 277256 311913 326766 356472 381227 415884 435688 485198 490149 623826 653532 727797 762454 831768 970396 980298 1143681 1247652 1307064 1455594 1524908 1940792 1960596 2183391 2287362 2495304 2668589 2911188 3049816 3431043 3921192 4366782 4574724 5337178 5822376 6862086 8005767 8733564 9149448 10674356 13724172 16011534 17467128 21348712 24017301 27448344 32023068 48034602 64046136 96069204 192138408