Search a number
-
+
748753368 = 23311191131321
BaseRepresentation
bin101100101000010…
…001000111011000
31221011220121112020
4230220101013120
53013140101433
6202144214440
724361204266
oct5450210730
91834817466
10748753368
11354719540
1218a90a420
13bc17c23c
1471629436
1545b02cb3
hex2ca111d8

748753368 has 128 divisors (see below), whose sum is σ = 2170195200. Its totient is φ = 212889600.

The previous prime is 748753303. The next prime is 748753391. The reversal of 748753368 is 863357847.

It is a self number, because there is not a number n which added to its sum of digits gives 748753368.

It is a congruent 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, 566148 + ... + 567468.

It is an arithmetic number, because the mean of its divisors is an integer number (16954650).

Almost surely, 2748753368 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 748753368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085097600).

748753368 is an abundant number, since it is smaller than the sum of its proper divisors (1421441832).

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

748753368 is a wasteful number, since it uses less digits than its factorization.

748753368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1469 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 748753368 is about 27363.3581272475. The cubic root of 748753368 is about 908.0566215411.

The spelling of 748753368 in words is "seven hundred forty-eight million, seven hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 113 114 132 152 209 226 228 264 339 418 452 456 627 678 836 904 1243 1254 1321 1356 1672 2147 2486 2508 2642 2712 3729 3963 4294 4972 5016 5284 6441 7458 7926 8588 9944 10568 12882 14531 14916 15852 17176 23617 25099 25764 29062 29832 31704 43593 47234 50198 51528 58124 70851 75297 87186 94468 100396 116248 141702 149273 150594 174372 188936 200792 276089 283404 298546 301188 348744 447819 552178 566808 597092 602376 828267 895638 1104356 1194184 1642003 1656534 1791276 2208712 2836187 3284006 3313068 3582552 4926009 5672374 6568012 6626136 8508561 9852018 11344748 13136024 17017122 19704036 22689496 31198057 34034244 39408072 62396114 68068488 93594171 124792228 187188342 249584456 374376684 748753368