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96417888 = 25372103199
BaseRepresentation
bin1011011111100…
…11100001100000
320201102112110220
411233303201200
5144140333023
613322323040
72250352500
oct557634140
9221375426
1096417888
114a475206
1228359480
1316c8b208
14cb3ba00
1586e83e3
hex5bf3860

96417888 has 144 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 27143424.

The previous prime is 96417887. The next prime is 96417899. The reversal of 96417888 is 88871469.

It is a self number, because there is not a number n which added to its sum of digits gives 96417888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96417887) 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, 484413 + ... + 484611.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 296417888 is an apocalyptic number.

96417888 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 96417888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

96417888 is an abundant number, since it is smaller than the sum of its proper divisors (202353312).

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

96417888 is a wasteful number, since it uses less digits than its factorization.

96417888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 96417888 is about 9819.2610719952. The cubic root of 96417888 is about 458.5491274593.

The spelling of 96417888 in words is "ninety-six million, four hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 103 112 147 168 196 199 206 224 294 309 336 392 398 412 588 597 618 672 721 784 796 824 1176 1194 1236 1393 1442 1568 1592 1648 2163 2352 2388 2472 2786 2884 3184 3296 4179 4326 4704 4776 4944 5047 5572 5768 6368 8358 8652 9552 9751 9888 10094 11144 11536 15141 16716 17304 19104 19502 20188 20497 22288 23072 29253 30282 33432 34608 39004 40376 40994 44576 58506 60564 61491 66864 69216 78008 80752 81988 117012 121128 122982 133728 143479 156016 161504 163976 234024 242256 245964 286958 312032 327952 430437 468048 484512 491928 573916 655904 860874 936096 983856 1004353 1147832 1721748 1967712 2008706 2295664 3013059 3443496 4017412 4591328 6026118 6886992 8034824 12052236 13773984 16069648 24104472 32139296 48208944 96417888