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507298428 = 2232713179109
BaseRepresentation
bin11110001111001…
…100001001111100
31022100120102121200
4132033030021330
52014332022203
6122201055500
715366652110
oct3617141174
91270512550
10507298428
112403a18aa
12121a87590
138113c0b0
144b535740
152e80a9a3
hex1e3cc27c

507298428 has 144 divisors (see below), whose sum is σ = 1671284160. Its totient is φ = 125908992.

The previous prime is 507298427. The next prime is 507298439. The reversal of 507298428 is 824892705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507298427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51138 + ... + 60246.

It is an arithmetic number, because the mean of its divisors is an integer number (11606140).

Almost surely, 2507298428 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 507298428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835642080).

507298428 is an abundant number, since it is smaller than the sum of its proper divisors (1163985732).

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

507298428 is a wasteful number, since it uses less digits than its factorization.

507298428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 507298428 is about 22523.2863499091. The cubic root of 507298428 is about 797.5437307283.

The spelling of 507298428 in words is "five hundred seven million, two hundred ninety-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9109 9282 13923 18218 18564 27327 27846 36436 54654 55692 63763 81981 109308 118417 127526 154853 163962 191289 236834 255052 309706 327924 355251 382578 464559 473668 573867 619412 710502 765156 828919 929118 1065753 1083971 1147734 1393677 1421004 1657838 1858236 2013089 2131506 2167942 2295468 2486757 2787354 3251913 3315676 4026178 4263012 4335884 4973514 5574708 6039267 6503826 7460271 8052356 9755739 9947028 12078534 13007652 14091623 14920542 18117801 19511478 24157068 28183246 29841084 36235602 39022956 42274869 56366492 72471204 84549738 126824607 169099476 253649214 507298428