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90375750 = 234534463
BaseRepresentation
bin1010110001100…
…00011001000110
320022001120020000
411120300121012
5141114011000
612545022130
72145116103
oct530603106
9208046200
1090375750
1147018703
1226324946
1315953c9a
14c007aaa
157e03000
hex5630646

90375750 has 80 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 24094800.

The previous prime is 90375739. The next prime is 90375751. The reversal of 90375750 is 5757309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90375751) 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 39 ways as a sum of consecutive naturals, for example, 18019 + ... + 22481.

Almost surely, 290375750 is an apocalyptic number.

90375750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90375750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

90375750 is an abundant number, since it is smaller than the sum of its proper divisors (162411642).

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

90375750 is a wasteful number, since it uses less digits than its factorization.

90375750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 90375750 is about 9506.6161172102. The cubic root of 90375750 is about 448.7632708940.

It can be divided in two parts, 90375 and 750, that added together give a cube (91125 = 453).

The spelling of 90375750 in words is "ninety million, three hundred seventy-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 675 750 810 1125 1350 2025 2250 3375 4050 4463 6750 8926 10125 13389 20250 22315 26778 40167 44630 66945 80334 111575 120501 133890 200835 223150 241002 334725 361503 401670 557875 602505 669450 723006 1004175 1115750 1205010 1673625 1807515 2008350 3012525 3347250 3615030 5020875 6025050 9037575 10041750 15062625 18075150 30125250 45187875 90375750