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90773312 = 267533823
BaseRepresentation
bin1010110100100…
…01011101000000
320022210202120112
411122101131000
5141214221222
613001330452
72151363140
oct532213500
9208722515
1090773312
114726a373
1226496a28
1315a62c26
14c0ac920
157e80be2
hex5691740

90773312 has 56 divisors (see below), whose sum is σ = 209799936. Its totient is φ = 38158848.

The previous prime is 90773311. The next prime is 90773327. The reversal of 90773312 is 21337709.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (90773311) 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, 21833 + ... + 25655.

Almost surely, 290773312 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 90773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104899968).

90773312 is an abundant number, since it is smaller than the sum of its proper divisors (119026624).

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

90773312 is a wasteful number, since it uses less digits than its factorization.

90773312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 90773312 is about 9527.5029257408. The cubic root of 90773312 is about 449.4203433618.

The spelling of 90773312 in words is "ninety million, seven hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 3823 5936 7646 11872 15292 23744 26761 30584 53522 61168 107044 122336 202619 214088 244672 405238 428176 810476 856352 1418333 1620952 1712704 2836666 3241904 5673332 6483808 11346664 12967616 22693328 45386656 90773312