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96292644 = 22372295647
BaseRepresentation
bin1011011110101…
…00111100100100
320201012011200020
411233110330210
5144122331034
613315515140
72246321400
oct557247444
9221164606
1096292644
114a39a0a8
12282b8ab0
1316c461c6
14cb08100
1586c1249
hex5bd4f24

96292644 has 72 divisors (see below), whose sum is σ = 270426240. Its totient is φ = 26558784.

The previous prime is 96292643. The next prime is 96292649. The reversal of 96292644 is 44629269.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 96292596 and 96292605.

It is not an unprimeable number, because it can be changed into a prime (96292643) 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, 14229 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (3755920).

Almost surely, 296292644 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 96292644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135213120).

96292644 is an abundant number, since it is smaller than the sum of its proper divisors (174133596).

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

96292644 is a wasteful number, since it uses less digits than its factorization.

96292644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5688 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 96292644 is about 9812.8815339838. The cubic root of 96292644 is about 458.3504941527.

The spelling of 96292644 in words is "ninety-six million, two hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5647 5684 8526 11294 16941 17052 22588 33882 39529 67764 79058 118587 158116 163763 237174 276703 327526 474348 491289 553406 655052 830109 982578 1106812 1146341 1660218 1965156 2292682 3320436 3439023 4585364 6878046 8024387 13756092 16048774 24073161 32097548 48146322 96292644