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507974328 = 23346171181
BaseRepresentation
bin11110010001110…
…001001010111000
31022101211202210000
4132101301022320
52020020134303
6122223353000
715405465501
oct3621611270
91271752700
10507974328
112408136a4
12122152760
1381317934
144b66dba8
152e8e0da3
hex1e4712b8

507974328 has 160 divisors (see below), whose sum is σ = 1474593120. Its totient is φ = 163296000.

The previous prime is 507974321. The next prime is 507974333. The reversal of 507974328 is 823479705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507974321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2806398 + ... + 2806578.

It is an arithmetic number, because the mean of its divisors is an integer number (9216207).

Almost surely, 2507974328 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 507974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

507974328 is an abundant number, since it is smaller than the sum of its proper divisors (966618792).

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

507974328 is a wasteful number, since it uses less digits than its factorization.

507974328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 507974328 is about 22538.2858265663. The cubic root of 507974328 is about 797.8977764925.

The spelling of 507974328 in words is "five hundred seven million, nine hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 71 72 81 108 122 142 162 181 183 213 216 244 284 324 362 366 426 488 543 549 568 639 648 724 732 852 1086 1098 1278 1448 1464 1629 1647 1704 1917 2172 2196 2556 3258 3294 3834 4331 4344 4392 4887 4941 5112 5751 6516 6588 7668 8662 9774 9882 11041 11502 12851 12993 13032 13176 14661 15336 17324 19548 19764 22082 23004 25702 25986 29322 33123 34648 38553 38979 39096 39528 44164 46008 51404 51972 58644 66246 77106 77958 88328 99369 102808 103944 115659 116937 117288 132492 154212 155916 198738 231318 233874 264984 298107 308424 311832 346977 350811 397476 462636 467748 596214 693954 701622 783911 794952 894321 925272 935496 1040931 1192428 1387908 1403244 1567822 1788642 2081862 2351733 2384856 2775816 2806488 3135644 3577284 4163724 4703466 6271288 7055199 7154568 8327448 9406932 14110398 18813864 21165597 28220796 42331194 56441592 63496791 84662388 126993582 169324776 253987164 507974328