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96558048 = 25332343113
BaseRepresentation
bin1011100000101…
…01101111100000
320201200122202000
411300111233200
5144204324143
613325324000
72251505226
oct560255740
9221618660
1096558048
114a560544
1228406600
1317009c52
14cb76b16
158724bd3
hex5c15be0

96558048 has 192 divisors, whose sum is σ = 303367680. Its totient is φ = 29804544.

The previous prime is 96558041. The next prime is 96558061. The reversal of 96558048 is 84085569.

96558048 is a `hidden beast` number, since 9 + 65 + 580 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96557994 and 96558012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96558041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854440 + ... + 854552.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 296558048 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 96558048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

96558048 is an abundant number, since it is smaller than the sum of its proper divisors (206809632).

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

96558048 is a wasteful number, since it uses less digits than its factorization.

96558048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 96558048 is about 9826.3954734175. The cubic root of 96558048 is about 458.7712132484.

The spelling of 96558048 in words is "ninety-six million, five hundred fifty-eight thousand, forty-eight".