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96292448 = 257331283
BaseRepresentation
bin1011011110101…
…00111001100000
320201012011101222
411233110321200
5144122324243
613315514212
72246321000
oct557247140
9221164358
1096292448
114a399a3a
12282b8968
1316c460a5
14cb08000
1586c1168
hex5bd4e60

96292448 has 96 divisors (see below), whose sum is σ = 229017600. Its totient is φ = 39795840.

The previous prime is 96292447. The next prime is 96292451. The reversal of 96292448 is 84429269.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96292399 and 96292408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96292447) 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, 340115 + ... + 340397.

It is an arithmetic number, because the mean of its divisors is an integer number (2385600).

Almost surely, 296292448 is an apocalyptic number.

96292448 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96292448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114508800).

96292448 is an abundant number, since it is smaller than the sum of its proper divisors (132725152).

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

96292448 is a wasteful number, since it uses less digits than its factorization.

96292448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 96292448 is about 9812.8715471059. The cubic root of 96292448 is about 458.3501831675.

The spelling of 96292448 in words is "ninety-six million, two hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 283 343 392 434 496 566 686 784 868 992 1132 1372 1519 1568 1736 1981 2264 2744 3038 3472 3962 4528 5488 6076 6944 7924 8773 9056 10633 10976 12152 13867 15848 17546 21266 24304 27734 31696 35092 42532 48608 55468 61411 63392 70184 85064 97069 110936 122822 140368 170128 194138 221872 245644 280736 340256 388276 429877 443744 491288 776552 859754 982576 1553104 1719508 1965152 3009139 3106208 3439016 6018278 6878032 12036556 13756064 24073112 48146224 96292448