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96721248 = 25313194079
BaseRepresentation
bin1011100001111…
…01100101100000
320201222221121110
411300331211200
5144230034443
613333023320
72253055101
oct560754540
9221887543
1096721248
114a662118
1228484b40
1317066310
14cbba3a8
158758233
hex5c3d960

96721248 has 96 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 28187136.

The previous prime is 96721231. The next prime is 96721249. The reversal of 96721248 is 84212769.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96721249) 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, 21673 + ... + 25751.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 296721248 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 96721248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

96721248 is an abundant number, since it is smaller than the sum of its proper divisors (191163552).

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

96721248 is a wasteful number, since it uses less digits than its factorization.

96721248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4116 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 96721248 is about 9834.6961315538. The cubic root of 96721248 is about 459.0295356467.

It can be divided in two parts, 96721 and 248, that added together give a palindrome (96969).

The spelling of 96721248 in words is "ninety-six million, seven hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 4079 5928 7904 8158 11856 12237 16316 23712 24474 32632 48948 53027 65264 77501 97896 106054 130528 155002 159081 195792 212108 232503 310004 318162 391584 424216 465006 620008 636324 848432 930012 1007513 1240016 1272648 1696864 1860024 2015026 2480032 2545296 3022539 3720048 4030052 5090592 6045078 7440096 8060104 12090156 16120208 24180312 32240416 48360624 96721248