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90273344 = 267238761
BaseRepresentation
bin1010110000101…
…11011001000000
320021212100202012
411120113121000
5141102221334
612542512052
72144211410
oct530273100
9207770665
1090273344
1146a58777
1226295628
13159194a5
14bdbc640
157dd29ce
hex5617640

90273344 has 56 divisors (see below), whose sum is σ = 213652608. Its totient is φ = 37002240.

The previous prime is 90273343. The next prime is 90273347. The reversal of 90273344 is 44337209.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 90273344.

It is not an unprimeable number, because it can be changed into a prime (90273343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5924 + ... + 14684.

Almost surely, 290273344 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 90273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106826304).

90273344 is an abundant number, since it is smaller than the sum of its proper divisors (123379264).

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

90273344 is a wasteful number, since it uses less digits than its factorization.

90273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 90273344 is about 9501.2285521400. The cubic root of 90273344 is about 448.5937068967.

The spelling of 90273344 in words is "ninety million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 8761 10304 17522 35044 61327 70088 122654 140176 201503 245308 280352 403006 490616 560704 806012 981232 1410521 1612024 1962464 2821042 3224048 3924928 5642084 6448096 11284168 12896192 22568336 45136672 90273344