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189362496 = 26323137313
BaseRepresentation
bin10110100100101…
…11000101000000
3111012022121111210
423102113011000
5341434044441
630442410120
74456361151
oct1322270500
9435277453
10189362496
1197987934
1253500940
133030151b
141b213928
1511957616
hexb497140

189362496 has 112 divisors (see below), whose sum is σ = 528303744. Its totient is φ = 59744256.

The previous prime is 189362491. The next prime is 189362521. The reversal of 189362496 is 694263981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189362491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604836 + ... + 605148.

Almost surely, 2189362496 is an apocalyptic number.

189362496 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 189362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264151872).

189362496 is an abundant number, since it is smaller than the sum of its proper divisors (338941248).

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

189362496 is a wasteful number, since it uses less digits than its factorization.

189362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 189362496 is about 13760.9046214266. The cubic root of 189362496 is about 574.2460146456.

The spelling of 189362496 in words is "one hundred eighty-nine million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 137 138 184 192 274 276 313 368 411 548 552 626 736 822 939 1096 1104 1252 1472 1644 1878 2192 2208 2504 3151 3288 3756 4384 4416 5008 6302 6576 7199 7512 8768 9453 10016 12604 13152 14398 15024 18906 20032 21597 25208 26304 28796 30048 37812 42881 43194 50416 57592 60096 75624 85762 86388 100832 115184 128643 151248 171524 172776 201664 230368 257286 302496 343048 345552 460736 514572 604992 686096 691104 986263 1029144 1372192 1382208 1972526 2058288 2744384 2958789 3945052 4116576 5917578 7890104 8233152 11835156 15780208 23670312 31560416 47340624 63120832 94681248 189362496