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4929288 = 2337133761
BaseRepresentation
bin10010110011011100001000
3100021102201020
4102303130020
52230214123
6253352440
756620050
oct22633410
910242636
104929288
1128674a1
121798720
131037850
14924560
156757e3
hex4b3708

4929288 has 128 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1244160.

The previous prime is 4929277. The next prime is 4929343. The reversal of 4929288 is 8829294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80778 + ... + 80838.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 24929288 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 4929288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4929288 is an abundant number, since it is smaller than the sum of its proper divisors (10903032).

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

4929288 is a wasteful number, since it uses less digits than its factorization.

4929288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 4929288 is about 2220.1999909918. The cubic root of 4929288 is about 170.1876589768.

The spelling of 4929288 in words is "four million, nine hundred twenty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 61 74 78 84 91 104 111 122 148 156 168 182 183 222 244 259 273 296 312 364 366 427 444 481 488 518 546 728 732 777 793 854 888 962 1036 1092 1281 1443 1464 1554 1586 1708 1924 2072 2184 2257 2379 2562 2886 3108 3172 3367 3416 3848 4514 4758 5124 5551 5772 6216 6344 6734 6771 9028 9516 10101 10248 11102 11544 13468 13542 15799 16653 18056 19032 20202 22204 26936 27084 29341 31598 33306 40404 44408 47397 54168 58682 63196 66612 80808 88023 94794 117364 126392 133224 176046 189588 205387 234728 352092 379176 410774 616161 704184 821548 1232322 1643096 2464644 4929288