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96543144 = 23332319433
BaseRepresentation
bin1011100000100…
…10000110101000
320201122220022000
411300102012220
5144203340034
613325131000
72251413615
oct560220650
9221586260
1096543144
114a550325
12283b9a60
1317003229
14cb7150c
158720599
hex5c121a8

96543144 has 64 divisors (see below), whose sum is σ = 279849600. Its totient is φ = 30780288.

The previous prime is 96543133. The next prime is 96543149. The reversal of 96543144 is 44134569.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96543099 and 96543108.

It is not an unprimeable number, because it can be changed into a prime (96543149) 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, 4749 + ... + 14684.

It is an arithmetic number, because the mean of its divisors is an integer number (4372650).

Almost surely, 296543144 is an apocalyptic number.

It is an amenable number.

96543144 is an abundant number, since it is smaller than the sum of its proper divisors (183306456).

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

96543144 is a wasteful number, since it uses less digits than its factorization.

96543144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19471 (or 19461 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 96543144 is about 9825.6370785817. The cubic root of 96543144 is about 458.7476078347.

It can be divided in two parts, 9 and 6543144, that added together give a triangular number (6543153 = T3617).

The spelling of 96543144 in words is "ninety-six million, five hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 19433 38866 58299 77732 116598 155464 174897 233196 349794 446959 466392 524691 699588 893918 1049382 1340877 1399176 1787836 2098764 2681754 3575672 4022631 4197528 5363508 8045262 10727016 12067893 16090524 24135786 32181048 48271572 96543144