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87422500 = 2254112172
BaseRepresentation
bin1010011010111…
…11011000100100
320002111112010101
411031133120210
5134340010000
612401433444
72111036044
oct515373044
9202445111
1087422500
1145390900
122533b884
131515b9b9
14b879724
157a1ce6a
hex535f624

87422500 has 135 divisors (see below), whose sum is σ = 223223077. Its totient is φ = 29920000.

The previous prime is 87422479. The next prime is 87422519. The reversal of 87422500 is 522478.

The square root of 87422500 is 9350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 42693156 + 44729344 = 6534^2 + 6688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5142492 + ... + 5142508.

Almost surely, 287422500 is an apocalyptic number.

87422500 is the 9350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87422500

87422500 is an abundant number, since it is smaller than the sum of its proper divisors (135800577).

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

87422500 is a wasteful number, since it uses less digits than its factorization.

87422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The cubic root of 87422500 is about 443.8208906118.

Adding to 87422500 its reverse (522478), we get a palindrome (87944978).

The spelling of 87422500 in words is "eighty-seven million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 125 170 187 220 242 250 275 289 340 374 425 484 500 550 578 605 625 748 850 935 1100 1156 1210 1250 1375 1445 1700 1870 2057 2125 2420 2500 2750 2890 3025 3179 3740 4114 4250 4675 5500 5780 6050 6358 6875 7225 8228 8500 9350 10285 10625 12100 12716 13750 14450 15125 15895 18700 20570 21250 23375 27500 28900 30250 31790 34969 36125 41140 42500 46750 51425 60500 63580 69938 72250 75625 79475 93500 102850 116875 139876 144500 151250 158950 174845 180625 205700 233750 257125 302500 317900 349690 361250 397375 467500 514250 699380 722500 794750 874225 1028500 1285625 1589500 1748450 1986875 2571250 3496900 3973750 4371125 5142500 7947500 8742250 17484500 21855625 43711250 87422500