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96432576 = 2634211193
BaseRepresentation
bin1011011111101…
…11000111000000
320201110021121220
411233313013000
5144141320301
613322515040
72250443352
oct557670700
9221407556
1096432576
114a485249
1228365a80
1316c94ac6
14cb430d2
1586ec936
hex5bf71c0

96432576 has 56 divisors (see below), whose sum is σ = 255964944. Its totient is φ = 32040960.

The previous prime is 96432541. The next prime is 96432577. The reversal of 96432576 is 67523469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96432577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80236 + ... + 81428.

Almost surely, 296432576 is an apocalyptic number.

96432576 is a gapful number since it is divisible by the number (96) 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 96432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982472).

96432576 is an abundant number, since it is smaller than the sum of its proper divisors (159532368).

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

96432576 is a wasteful number, since it uses less digits than its factorization.

96432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 96432576 is about 9820.0089612994. The cubic root of 96432576 is about 458.5724109245.

The spelling of 96432576 in words is "ninety-six million, four hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 842 1193 1263 1684 2386 2526 3368 3579 4772 5052 6736 7158 9544 10104 13472 14316 19088 20208 26944 28632 38176 40416 57264 76352 80832 114528 229056 502253 1004506 1506759 2009012 3013518 4018024 6027036 8036048 12054072 16072096 24108144 32144192 48216288 96432576