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2396396128 = 257192324481
BaseRepresentation
bin1000111011010110…
…0001101001100000
320012000020112111011
42032311201221200
514401434134003
61033443030304
7113246013430
oct21665415140
96160215434
102396396128
11101a780975
1256a66b394
132c2626499
1418a3a22c0
15e05b346d
hex8ed61a60

2396396128 has 96 divisors (see below), whose sum is σ = 5922685440. Its totient is φ = 930631680.

The previous prime is 2396396117. The next prime is 2396396129. The reversal of 2396396128 is 8216936932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2396396129) 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, 85648 + ... + 110128.

It is an arithmetic number, because the mean of its divisors is an integer number (61694640).

Almost surely, 22396396128 is an apocalyptic number.

2396396128 is a gapful number since it is divisible by the number (28) 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 2396396128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961342720).

2396396128 is an abundant number, since it is smaller than the sum of its proper divisors (3526289312).

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

2396396128 is a wasteful number, since it uses less digits than its factorization.

2396396128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24540 (or 24532 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 2396396128 is about 48952.9991726758. Note that the first 3 decimals coincide. The cubic root of 2396396128 is about 1338.1954114849.

The spelling of 2396396128 in words is "two billion, three hundred ninety-six million, three hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 112 133 152 161 184 224 266 304 322 368 437 532 608 644 736 874 1064 1288 1748 2128 2576 3059 3496 4256 5152 6118 6992 12236 13984 24472 24481 48944 48962 97888 97924 171367 195848 342734 391696 465139 563063 685468 783392 930278 1126126 1370936 1860556 2252252 2741872 3255973 3721112 3941441 4504504 5483744 6511946 7442224 7882882 9009008 10698197 13023892 14884448 15765764 18018016 21396394 26047784 31531528 42792788 52095568 63063056 74887379 85585576 104191136 126126112 149774758 171171152 299549516 342342304 599099032 1198198064 2396396128