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90390440 = 2357536091
BaseRepresentation
bin1010110001100…
…11111110101000
320022002022101002
411120303332220
5141114443230
612545214132
72145206660
oct530637650
9208068332
1090390440
1147028748
1226331348
131595a88a
14c00d1a0
157e07545
hex5633fa8

90390440 has 64 divisors (see below), whose sum is σ = 236856960. Its totient is φ = 30401280.

The previous prime is 90390409. The next prime is 90390463. The reversal of 90390440 is 4409309.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11795 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (3700890).

Almost surely, 290390440 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 90390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118428480).

90390440 is an abundant number, since it is smaller than the sum of its proper divisors (146466520).

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

90390440 is a wasteful number, since it uses less digits than its factorization.

90390440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 90390440 is about 9507.3887056331. The cubic root of 90390440 is about 448.7875841096.

Adding to 90390440 its reverse (4409309), we get a palindrome (94799749).

The spelling of 90390440 in words is "ninety million, three hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 6091 7420 12182 14840 24364 30455 42637 48728 60910 85274 121820 170548 213185 243640 322823 341096 426370 645646 852740 1291292 1614115 1705480 2259761 2582584 3228230 4519522 6456460 9039044 11298805 12912920 18078088 22597610 45195220 90390440