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453044064 = 25311232811
BaseRepresentation
bin11011000000001…
…110011101100000
31011120111000121210
4123000032131200
51411434402224
6112542150120
714140545114
oct3300163540
91146430553
10453044064
11212805790
12107882340
1372b24415
1444251744
1529b90429
hex1b00e760

453044064 has 144 divisors (see below), whose sum is σ = 1357884864. Its totient is φ = 131155200.

The previous prime is 453044051. The next prime is 453044069. The reversal of 453044064 is 460440354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453044069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558219 + ... + 559029.

It is an arithmetic number, because the mean of its divisors is an integer number (9429756).

Almost surely, 2453044064 is an apocalyptic number.

453044064 is a gapful number since it is divisible by the number (44) 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 453044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678942432).

453044064 is an abundant number, since it is smaller than the sum of its proper divisors (904840800).

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

453044064 is a wasteful number, since it uses less digits than its factorization.

453044064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 453044064 is about 21284.8317822810. The cubic root of 453044064 is about 768.0334729334.

The spelling of 453044064 in words is "four hundred fifty-three million, forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 529 552 736 759 811 1012 1056 1058 1104 1518 1587 1622 2024 2116 2208 2433 3036 3174 3244 4048 4232 4866 5819 6072 6348 6488 8096 8464 8921 9732 11638 12144 12696 12976 16928 17457 17842 18653 19464 23276 24288 25392 25952 26763 34914 35684 37306 38928 46552 50784 53526 55959 69828 71368 74612 77856 93104 107052 111918 139656 142736 149224 186208 205183 214104 223836 279312 285472 298448 410366 428208 429019 447672 558624 596896 615549 820732 856416 858038 895344 1231098 1287057 1641464 1716076 1790688 2462196 2574114 3282928 3432152 4719209 4924392 5148228 6565856 6864304 9438418 9848784 10296456 13728608 14157627 18876836 19697568 20592912 28315254 37753672 41185824 56630508 75507344 113261016 151014688 226522032 453044064