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90043296 = 2537133993
BaseRepresentation
bin1010101110111…
…11001110100000
320021102200011220
411113133032200
5141022341141
612533535040
72142232620
oct527371640
9207380156
1090043296
1146910952
12261a4480
1315868875
14bd5c880
157d89766
hex55df3a0

90043296 has 48 divisors (see below), whose sum is σ = 270131904. Its totient is φ = 25726464.

The previous prime is 90043279. The next prime is 90043307. The reversal of 90043296 is 69234009.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66325 + ... + 67668.

It is an arithmetic number, because the mean of its divisors is an integer number (5627748).

Almost surely, 290043296 is an apocalyptic number.

90043296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90043296 is an abundant number, since it is smaller than the sum of its proper divisors (180088608).

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

90043296 is a wasteful number, since it uses less digits than its factorization.

90043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134013 (or 134005 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 90043296 is about 9489.1146056943. The cubic root of 90043296 is about 448.2123249501.

The spelling of 90043296 in words is "ninety million, forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 133993 267986 401979 535972 803958 937951 1071944 1607916 1875902 2143888 2813853 3215832 3751804 4287776 5627706 6431664 7503608 11255412 12863328 15007216 22510824 30014432 45021648 90043296