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96128448 = 26313192027
BaseRepresentation
bin1011011101011…
…00110111000000
320200212211102220
411232230313000
5144102102243
613312211040
72245035603
oct556546700
9220784386
1096128448
114a2977a9
1228239a80
1316bb9550
14caa433a
15868c783
hex5bacdc0

96128448 has 112 divisors (see below), whose sum is σ = 288462720. Its totient is φ = 28007424.

The previous prime is 96128447. The next prime is 96128449. The reversal of 96128448 is 84482169.

It is an interprime number because it is at equal distance from previous prime (96128447) and next prime (96128449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96128447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46411 + ... + 48437.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 296128448 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 96128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144231360).

96128448 is an abundant number, since it is smaller than the sum of its proper divisors (192334272).

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

96128448 is a wasteful number, since it uses less digits than its factorization.

96128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2064 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 96128448 is about 9804.5116145579. The cubic root of 96128448 is about 458.0898230291.

The spelling of 96128448 in words is "ninety-six million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2027 2496 2964 3648 3952 4054 5928 6081 7904 8108 11856 12162 15808 16216 23712 24324 26351 32432 38513 47424 48648 52702 64864 77026 79053 97296 105404 115539 129728 154052 158106 194592 210808 231078 308104 316212 389184 421616 462156 500669 616208 632424 843232 924312 1001338 1232416 1264848 1502007 1686464 1848624 2002676 2464832 2529696 3004014 3697248 4005352 5059392 6008028 7394496 8010704 12016056 16021408 24032112 32042816 48064224 96128448