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90894848 = 291116139
BaseRepresentation
bin1010110101011…
…11001000000000
320100000221021212
411122233020000
5141232113343
613004105252
72152410362
oct532571000
9210027255
1090894848
1147342710
1226535228
1315aa6345
14c100d32
157ea6c18
hex56af200

90894848 has 40 divisors (see below), whose sum is σ = 198134640. Its totient is φ = 41313280.

The previous prime is 90894847. The next prime is 90894857. The reversal of 90894848 is 84849809.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90894796 and 90894805.

It is not an unprimeable number, because it can be changed into a prime (90894847) 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 3 ways as a sum of consecutive naturals, for example, 2438 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (4953366).

Almost surely, 290894848 is an apocalyptic number.

It is an amenable number.

90894848 is an abundant number, since it is smaller than the sum of its proper divisors (107239792).

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

90894848 is a wasteful number, since it uses less digits than its factorization.

90894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 90894848 is about 9533.8789587450. The cubic root of 90894848 is about 449.6208295716.

The spelling of 90894848 in words is "ninety million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 16139 32278 64556 129112 177529 258224 355058 516448 710116 1032896 1420232 2065792 2840464 4131584 5680928 8263168 11361856 22723712 45447424 90894848