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7936896 = 273111879
BaseRepresentation
bin11110010001101110000000
3112221020101010
4132101232000
54012440041
6442040520
7124314432
oct36215600
915836333
107936896
114531120
1227a9140
13184b7b6
1410a8652
15a6ba16
hex791b80

7936896 has 64 divisors (see below), whose sum is σ = 23011200. Its totient is φ = 2403840.

The previous prime is 7936891. The next prime is 7936913. The reversal of 7936896 is 6986397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×79368962 = 125988636229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7936891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3285 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (359550).

Almost surely, 27936896 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 7936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505600).

7936896 is an abundant number, since it is smaller than the sum of its proper divisors (15074304).

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

7936896 is a wasteful number, since it uses less digits than its factorization.

7936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1895 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 7936896 is about 2817.2497226906. The cubic root of 7936896 is about 199.4727445633.

The spelling of 7936896 in words is "seven million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1879 2112 3758 4224 5637 7516 11274 15032 20669 22548 30064 41338 45096 60128 62007 82676 90192 120256 124014 165352 180384 240512 248028 330704 360768 496056 661408 721536 992112 1322816 1984224 2645632 3968448 7936896