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4053696 = 26343491
BaseRepresentation
bin1111011101101011000000
321121221121220
433131223000
52014204241
6222515040
746312233
oct17355300
97557556
104053696
112319669
121435a80
13abc14a
1477741a
15551166
hex3ddac0

4053696 has 56 divisors (see below), whose sum is σ = 10997184. Its totient is φ = 1317120.

The previous prime is 4053691. The next prime is 4053697. The reversal of 4053696 is 6963504.

It is a happy number.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4053691) 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, 8011 + ... + 8501.

Almost surely, 24053696 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 4053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498592).

4053696 is an abundant number, since it is smaller than the sum of its proper divisors (6943488).

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

4053696 is a wasteful number, since it uses less digits than its factorization.

4053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 4053696 is about 2013.3792489246. The cubic root of 4053696 is about 159.4472593517.

The spelling of 4053696 in words is "four million, fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 491 516 688 982 1032 1376 1473 1964 2064 2752 2946 3928 4128 5892 7856 8256 11784 15712 21113 23568 31424 42226 47136 63339 84452 94272 126678 168904 253356 337808 506712 675616 1013424 1351232 2026848 4053696