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96444480 = 2635119133
BaseRepresentation
bin1011011111110…
…10000001000000
320201110212221210
411233322001000
5144142210410
613323050120
72250523146
oct557720100
9221425853
1096444480
114a493190
1228370940
1316c9a352
14cb47596
158701220
hex5bfa040

96444480 has 112 divisors (see below), whose sum is σ = 334085184. Its totient is φ = 23377920.

The previous prime is 96444479. The next prime is 96444487. The reversal of 96444480 is 8444469.

It is not an unprimeable number, because it can be changed into a prime (96444487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5994 + ... + 15126.

Almost surely, 296444480 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 96444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167042592).

96444480 is an abundant number, since it is smaller than the sum of its proper divisors (237640704).

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

96444480 is a wasteful number, since it uses less digits than its factorization.

96444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 96444480 is about 9820.6150520219. The cubic root of 96444480 is about 458.5912794493.

Subtracting from 96444480 its reverse (8444469), we obtain a triangular number (88000011 = T13266).

The spelling of 96444480 in words is "ninety-six million, four hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 9133 10560 18266 27399 36532 45665 54798 73064 91330 100463 109596 136995 146128 182660 200926 219192 273990 292256 301389 365320 401852 438384 502315 547980 584512 602778 730640 803704 876768 1004630 1095960 1205556 1461280 1506945 1607408 1753536 2009260 2191920 2411112 2922560 3013890 3214816 4018520 4383840 4822224 6027780 6429632 8037040 8767680 9644448 12055560 16074080 19288896 24111120 32148160 48222240 96444480