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96045520 = 2459712377
BaseRepresentation
bin1011011100110…
…00100111010000
320200201121200111
411232120213100
5144041424040
613310331104
72244242044
oct556304720
9220647614
1096045520
114a24046a
12281b9a94
1316b8a88c
14ca82024
158672dea
hex5b989d0

96045520 has 40 divisors (see below), whose sum is σ = 225626184. Its totient is φ = 38019072.

The previous prime is 96045511. The next prime is 96045557. The reversal of 96045520 is 2554069.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 95491984 = 744^2 + 9772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 13948.

Almost surely, 296045520 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 96045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112813092).

96045520 is an abundant number, since it is smaller than the sum of its proper divisors (129580664).

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

96045520 is a wasteful number, since it uses less digits than its factorization.

96045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 96045520 is about 9800.2816286064. The cubic root of 96045520 is about 457.9580569639.

Adding to 96045520 its reverse (2554069), we get a palindrome (98599589).

The spelling of 96045520 in words is "ninety-six million, forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 12377 24754 49508 61885 99016 123770 198032 247540 495080 990160 1200569 2401138 4802276 6002845 9604552 12005690 19209104 24011380 48022760 96045520