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96049440 = 2532566701
BaseRepresentation
bin1011011100110…
…01100100100000
320200201211001200
411232121210200
5144042040230
613310401200
72244256344
oct556314440
9220654050
1096049440
114a243403
1228200200
1316b8c5b6
14ca83624
158674160
hex5b99920

96049440 has 72 divisors (see below), whose sum is σ = 327773628. Its totient is φ = 25612800.

The previous prime is 96049433. The next prime is 96049451. The reversal of 96049440 is 4494069.

It can be divided in two parts, 9604 and 9440, that added together give a square (19044 = 1382).

96049440 is a `hidden beast` number, since 9 + 604 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92852496 + 3196944 = 9636^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 96049395 and 96049404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31911 + ... + 34790.

Almost surely, 296049440 is an apocalyptic number.

96049440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96049440 is an abundant number, since it is smaller than the sum of its proper divisors (231724188).

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

96049440 is a wasteful number, since it uses less digits than its factorization.

96049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66722 (or 66711 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96049440 is about 9800.4816208184. The cubic root of 96049440 is about 457.9642872429.

The spelling of 96049440 in words is "ninety-six million, forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 66701 133402 200103 266804 333505 400206 533608 600309 667010 800412 1000515 1067216 1200618 1334020 1600824 2001030 2134432 2401236 2668040 3001545 3201648 4002060 4802472 5336080 6003090 6403296 8004120 9604944 10672160 12006180 16008240 19209888 24012360 32016480 48024720 96049440