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90544992 = 25317109509
BaseRepresentation
bin1010110010110…
…01101101100000
320022101011101020
411121121231200
5141134414432
612552405440
72146422366
oct531315540
9208334336
1090544992
114712387a
12263a6880
13159b3025
14c04d636
157e3822c
hex5659b60

90544992 has 96 divisors (see below), whose sum is σ = 254469600. Its totient is φ = 28090368.

The previous prime is 90544991. The next prime is 90545003. The reversal of 90544992 is 29944509.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90544991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177634 + ... + 178142.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 290544992 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 90544992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127234800).

90544992 is an abundant number, since it is smaller than the sum of its proper divisors (163924608).

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

90544992 is a wasteful number, since it uses less digits than its factorization.

90544992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 90544992 is about 9515.5132284076. The cubic root of 90544992 is about 449.0432214847.

The spelling of 90544992 in words is "ninety million, five hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 109 136 204 218 272 327 408 436 509 544 654 816 872 1018 1308 1527 1632 1744 1853 2036 2616 3054 3488 3706 4072 5232 5559 6108 7412 8144 8653 10464 11118 12216 14824 16288 17306 22236 24432 25959 29648 34612 44472 48864 51918 55481 59296 69224 88944 103836 110962 138448 166443 177888 207672 221924 276896 332886 415344 443848 665772 830688 887696 943177 1331544 1775392 1886354 2663088 2829531 3772708 5326176 5659062 7545416 11318124 15090832 22636248 30181664 45272496 90544992