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4053456 = 243311853
BaseRepresentation
bin1111011101100111010000
321121221022000
433131213100
52014202311
6222514000
746311441
oct17354720
97557260
104053456
112319470
121435900
13abbcc4
147772c8
15551056
hex3dd9d0

4053456 has 80 divisors (see below), whose sum is σ = 12707520. Its totient is φ = 1226880.

The previous prime is 4053449. The next prime is 4053457. The reversal of 4053456 is 6543504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 24053456 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 4053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353760).

4053456 is an abundant number, since it is smaller than the sum of its proper divisors (8654064).

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

4053456 is a wasteful number, since it uses less digits than its factorization.

4053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4053456 is about 2013.3196467526. The cubic root of 4053456 is about 159.4441125857. Note that the first 3 decimals are identical.

The spelling of 4053456 in words is "four million, fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 853 1188 1584 1706 2376 2559 3412 4752 5118 6824 7677 9383 10236 13648 15354 18766 20472 23031 28149 30708 37532 40944 46062 56298 61416 75064 84447 92124 112596 122832 150128 168894 184248 225192 253341 337788 368496 450384 506682 675576 1013364 1351152 2026728 4053456