Search a number
-
+
96448384 = 27231812
BaseRepresentation
bin1011011111110…
…10111110000000
320201111002022101
411233322332000
5144142322014
613323120144
72250540424
oct557727600
9221432271
1096448384
114a49610a
1228373054
1316c9c066
14cb48b84
158702474
hex5bfaf80

96448384 has 48 divisors (see below), whose sum is σ = 201611160. Its totient is φ = 45872640.

The previous prime is 96448369. The next prime is 96448399. The reversal of 96448384 is 48384469.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96448369) and next prime (96448399).

It is a super-2 number, since 2×964483842 = 18604581552422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532774 + ... + 532954.

Almost surely, 296448384 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 96448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100805580).

96448384 is an abundant number, since it is smaller than the sum of its proper divisors (105162776).

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

96448384 is an equidigital number, since it uses as much as digits as its factorization.

96448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 206 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 96448384 is about 9820.8138155654. The cubic root of 96448384 is about 458.5974671759.

Multiplying 96448384 by its sum of digits (46), we get a square (4436625664 = 666082).

96448384 divided by its sum of digits (46) gives a square (2096704 = 14482).

The spelling of 96448384 in words is "ninety-six million, four hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 181 184 362 368 724 736 1448 1472 2896 2944 4163 5792 8326 11584 16652 23168 32761 33304 65522 66608 131044 133216 262088 266432 524176 532864 753503 1048352 1507006 2096704 3014012 4193408 6028024 12056048 24112096 48224192 96448384