Search a number
-
+
90025852350 = 23527367233621
BaseRepresentation
bin101001111010111110…
…1010111110110111110
322121101001112010212210
41103311331113312332
52433333104233400
6105205102241250
76334632055560
oct1236575276676
9277331463783
1090025852350
11351a8279375
1215545586226
1386492a4425
14450050b330
15251d786950
hex14f5f57dbe

90025852350 has 96 divisors (see below), whose sum is σ = 255855338496. Its totient is φ = 20521180800.

The previous prime is 90025852327. The next prime is 90025852351. The reversal of 90025852350 is 5325852009.

It is a junction number, because it is equal to n+sod(n) for n = 90025852299 and 90025852308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90025852351) 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, 268540 + ... + 502160.

It is an arithmetic number, because the mean of its divisors is an integer number (2665159776).

Almost surely, 290025852350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90025852350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927669248).

90025852350 is an abundant number, since it is smaller than the sum of its proper divisors (165829486146).

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

90025852350 is a wasteful number, since it uses less digits than its factorization.

90025852350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234010 (or 234005 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 90025852350 in words is "ninety billion, twenty-five million, eight hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 367 525 734 1050 1101 1835 2202 2569 3670 5138 5505 7707 9175 11010 12845 15414 18350 25690 27525 38535 55050 64225 77070 128450 192675 233621 385350 467242 700863 1168105 1401726 1635347 2336210 3270694 3504315 4906041 5840525 7008630 8176735 9812082 11681050 16353470 17521575 24530205 35043150 40883675 49060410 81767350 85738907 122651025 171477814 245302050 257216721 428694535 514433442 600172349 857389070 1200344698 1286083605 1800517047 2143472675 2572167210 3000861745 3601034094 4286945350 6001723490 6430418025 9002585235 12860836050 15004308725 18005170470 30008617450 45012926175 90025852350