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90172950 = 23527157547
BaseRepresentation
bin1010101111111…
…10111000010110
320021200021000220
411113332320112
5141041013300
612540415210
72143312620
oct527767026
9207607026
1090172950
114699a2aa
1226247506
13158b289a
14bd93c10
157db2da0
hex55fee16

90172950 has 96 divisors (see below), whose sum is σ = 257673984. Its totient is φ = 20442240.

The previous prime is 90172939. The next prime is 90172967. The reversal of 90172950 is 5927109.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164577 + ... + 165123.

It is an arithmetic number, because the mean of its divisors is an integer number (2684104).

Almost surely, 290172950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90172950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128836992).

90172950 is an abundant number, since it is smaller than the sum of its proper divisors (167501034).

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

90172950 is a wasteful number, since it uses less digits than its factorization.

90172950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 90172950 is about 9495.9438709377. The cubic root of 90172950 is about 448.4273498453.

The spelling of 90172950 in words is "ninety million, one hundred seventy-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 157 175 210 314 350 471 525 547 785 942 1050 1094 1099 1570 1641 2198 2355 2735 3282 3297 3829 3925 4710 5470 5495 6594 7658 7850 8205 10990 11487 11775 13675 16410 16485 19145 22974 23550 27350 27475 32970 38290 41025 54950 57435 82050 82425 85879 95725 114870 164850 171758 191450 257637 287175 429395 515274 574350 601153 858790 1202306 1288185 1803459 2146975 2576370 3005765 3606918 4293950 6011530 6440925 9017295 12881850 15028825 18034590 30057650 45086475 90172950