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96288270 = 235131491657
BaseRepresentation
bin1011011110100…
…11111000001110
320201011221200020
411233103320032
5144122211040
613315443010
72246302551
oct557237016
9221157606
1096288270
114a396891
12282b6466
1316c44210
14cb06698
1586becd0
hex5bd3e0e

96288270 has 64 divisors (see below), whose sum is σ = 250689600. Its totient is φ = 23528448.

The previous prime is 96288251. The next prime is 96288271. The reversal of 96288270 is 7288269.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96288271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57282 + ... + 58938.

It is an arithmetic number, because the mean of its divisors is an integer number (3917025).

Almost surely, 296288270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96288270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125344800).

96288270 is an abundant number, since it is smaller than the sum of its proper divisors (154401330).

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

96288270 is a wasteful number, since it uses less digits than its factorization.

96288270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 96288270 is about 9812.6586611377. The cubic root of 96288270 is about 458.3435540053.

The spelling of 96288270 in words is "ninety-six million, two hundred eighty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 298 390 447 745 894 1490 1657 1937 2235 3314 3874 4470 4971 5811 8285 9685 9942 11622 16570 19370 21541 24855 29055 43082 49710 58110 64623 107705 129246 215410 246893 323115 493786 646230 740679 1234465 1481358 2468930 3209609 3703395 6419218 7406790 9628827 16048045 19257654 32096090 48144135 96288270