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90960448 = 2619231127
BaseRepresentation
bin1010110101111…
…11001001000000
320100011021021111
411122333021000
5141241213243
613005333104
72153102545
oct532771100
9210137244
1090960448
1147387a27
1226567194
1315aca167
14c11abcc
157ebb39d
hex56bf240

90960448 has 84 divisors (see below), whose sum is σ = 198193152. Its totient is φ = 41368320.

The previous prime is 90960439. The next prime is 90960449. The reversal of 90960448 is 84406909.

It is a self number, because there is not a number n which added to its sum of digits gives 90960448.

It is not an unprimeable number, because it can be changed into a prime (90960449) 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 11 ways as a sum of consecutive naturals, for example, 716161 + ... + 716287.

Almost surely, 290960448 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 90960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99096576).

90960448 is an abundant number, since it is smaller than the sum of its proper divisors (107232704).

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

90960448 is a wasteful number, since it uses less digits than its factorization.

90960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 90960448 is about 9537.3187007670. The cubic root of 90960448 is about 449.7289693039.

The spelling of 90960448 in words is "ninety million, nine hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 127 152 248 254 304 361 496 508 589 608 722 992 1016 1178 1216 1444 1984 2032 2356 2413 2888 3937 4064 4712 4826 5776 7874 8128 9424 9652 11191 11552 15748 18848 19304 22382 23104 31496 37696 38608 44764 45847 62992 74803 77216 89528 91694 125984 149606 154432 179056 183388 251968 299212 358112 366776 598424 716224 733552 1196848 1421257 1467104 2393696 2842514 2934208 4787392 5685028 11370056 22740112 45480224 90960448