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96801128 = 23172149281
BaseRepresentation
bin1011100010100…
…01000101101000
320202011000011222
411301101011220
5144240114003
613334441212
72253540014
oct561210550
9222130158
1096801128
114a707136
1228503208
1317093798
14cbdb544
158771c38
hex5c51168

96801128 has 48 divisors (see below), whose sum is σ = 194791500. Its totient is φ = 45086720.

The previous prime is 96801121. The next prime is 96801137. The reversal of 96801128 is 82110869.

It can be written as a sum of positive squares in 6 ways, for example, as 64288324 + 32512804 = 8018^2 + 5702^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96801121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344348 + ... + 344628.

Almost surely, 296801128 is an apocalyptic number.

It is an amenable number.

96801128 is an abundant number, since it is smaller than the sum of its proper divisors (97990372).

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

96801128 is a wasteful number, since it uses less digits than its factorization.

96801128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 96801128 is about 9838.7564254839. The cubic root of 96801128 is about 459.1558684173.

The spelling of 96801128 in words is "ninety-six million, eight hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 17 34 68 136 149 281 289 298 562 578 596 1124 1156 1192 2248 2312 2533 4777 5066 9554 10132 19108 20264 38216 41869 43061 81209 83738 86122 162418 167476 172244 324836 334952 344488 649672 711773 1423546 2847092 5694184 12100141 24200282 48400564 96801128