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19252992 = 283114353
BaseRepresentation
bin100100101110…
…0011100000000
31100020011010210
41021130130000
514412043432
61524354120
7322435113
oct111343400
940204123
1019252992
11a960070
126545940
133cb1405
1427b257a
151a548cc
hex125c700

19252992 has 144 divisors (see below), whose sum is σ = 58278528. Its totient is φ = 5591040.

The previous prime is 19252979. The next prime is 19253041. The reversal of 19252992 is 29925291.

It is a self number, because there is not a number n which added to its sum of digits gives 19252992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363238 + ... + 363290.

It is an arithmetic number, because the mean of its divisors is an integer number (404712).

Almost surely, 219252992 is an apocalyptic number.

19252992 is a gapful number since it is divisible by the number (12) 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 19252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139264).

19252992 is an abundant number, since it is smaller than the sum of its proper divisors (39025536).

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

19252992 is a wasteful number, since it uses less digits than its factorization.

19252992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 19252992 is about 4387.8231504927. The cubic root of 19252992 is about 268.0193050622.

The spelling of 19252992 in words is "nineteen million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 53 64 66 86 88 96 106 128 129 132 159 172 176 192 212 256 258 264 318 344 352 384 424 473 516 528 583 636 688 704 768 848 946 1032 1056 1166 1272 1376 1408 1419 1696 1749 1892 2064 2112 2279 2332 2544 2752 2816 2838 3392 3498 3784 4128 4224 4558 4664 5088 5504 5676 6784 6837 6996 7568 8256 8448 9116 9328 10176 11008 11352 13568 13674 13992 15136 16512 18232 18656 20352 22704 25069 27348 27984 30272 33024 36464 37312 40704 45408 50138 54696 55968 60544 72928 74624 75207 90816 100276 109392 111936 121088 145856 149248 150414 181632 200552 218784 223872 291712 300828 363264 401104 437568 447744 583424 601656 802208 875136 1203312 1604416 1750272 2406624 3208832 4813248 6417664 9626496 19252992