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96418816 = 210137243
BaseRepresentation
bin1011011111100…
…11110000000000
320201102120202021
411233303300000
5144140400231
613322331224
72250355264
oct557636000
9221376667
1096418816
114a47597a
1228359b14
1316c8b770
14cb3c0a4
1586e8811
hex5bf3c00

96418816 has 44 divisors (see below), whose sum is σ = 207598552. Its totient is φ = 44494848.

The previous prime is 96418811. The next prime is 96418831. The reversal of 96418816 is 61881469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96418811) 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 3 ways as a sum of consecutive naturals, for example, 9691 + ... + 16933.

Almost surely, 296418816 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 96418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103799276).

96418816 is an abundant number, since it is smaller than the sum of its proper divisors (111179736).

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

96418816 is a wasteful number, since it uses less digits than its factorization.

96418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7258 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 96418816 is about 9819.3083259464. The cubic root of 96418816 is about 458.5505985979.

The spelling of 96418816 in words is "ninety-six million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 7243 13312 14486 28972 57944 94159 115888 188318 231776 376636 463552 753272 927104 1506544 1854208 3013088 3708416 6026176 7416832 12052352 24104704 48209408 96418816