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96854880 = 2535201781
BaseRepresentation
bin1011100010111…
…10001101100000
320202020201220210
411301132031200
5144243324010
613335534120
72254152513
oct561361540
9222221823
1096854880
114a743561
122852a340
13170b20a5
14cc12d7a
158782b20
hex5c5e360

96854880 has 48 divisors (see below), whose sum is σ = 305094384. Its totient is φ = 25827840.

The previous prime is 96854861. The next prime is 96854897. The reversal of 96854880 is 8845869.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 100411 + ... + 101370.

It is an arithmetic number, because the mean of its divisors is an integer number (6356133).

Almost surely, 296854880 is an apocalyptic number.

It is an amenable number.

96854880 is an abundant number, since it is smaller than the sum of its proper divisors (208239504).

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

96854880 is a wasteful number, since it uses less digits than its factorization.

96854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201799 (or 201791 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 96854880 is about 9841.4876924172. The cubic root of 96854880 is about 459.2408398080.

The spelling of 96854880 in words is "ninety-six million, eight hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 201781 403562 605343 807124 1008905 1210686 1614248 2017810 2421372 3026715 3228496 4035620 4842744 6053430 6456992 8071240 9685488 12106860 16142480 19370976 24213720 32284960 48427440 96854880