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96286248 = 233231179241
BaseRepresentation
bin1011011110100…
…11011000101000
320201011211220100
411233103120220
5144122124443
613315425400
72246263632
oct557233050
9221154810
1096286248
114a395313
12282b5260
1316c43316
14cb05a52
1586be3d3
hex5bd3628

96286248 has 96 divisors (see below), whose sum is σ = 271814400. Its totient is φ = 30758400.

The previous prime is 96286241. The next prime is 96286259. The reversal of 96286248 is 84268269.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96286241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399408 + ... + 399648.

It is an arithmetic number, because the mean of its divisors is an integer number (2831400).

Almost surely, 296286248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96286248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907200).

96286248 is an abundant number, since it is smaller than the sum of its proper divisors (175528152).

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

96286248 is a wasteful number, since it uses less digits than its factorization.

96286248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 96286248 is about 9812.5556304156. Note that the first 3 decimals coincide. The cubic root of 96286248 is about 458.3403456631.

It can be divided in two parts, 9628 and 6248, that added together give a square (15876 = 1262).

The spelling of 96286248 in words is "ninety-six million, two hundred eighty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 179 186 241 248 279 358 372 482 537 558 716 723 744 964 1074 1116 1432 1446 1611 1928 2148 2169 2232 2892 3222 4296 4338 5549 5784 6444 7471 8676 11098 12888 14942 16647 17352 22196 22413 29884 33294 43139 44392 44826 49941 59768 66588 67239 86278 89652 99882 129417 133176 134478 172556 179304 199764 258834 268956 345112 388251 399528 517668 537912 776502 1035336 1337309 1553004 2674618 3106008 4011927 5349236 8023854 10698472 12035781 16047708 24071562 32095416 48143124 96286248