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453238128 = 243272112131
BaseRepresentation
bin11011000000111…
…101110101110000
31011120211212211100
4123000331311300
51412012110003
6112550244400
714142313650
oct3300756560
91146755740
10453238128
11212928572
12107956700
1372b91855
14442a2360
1529bccba3
hex1b03dd70

453238128 has 120 divisors (see below), whose sum is σ = 1457196416. Its totient is φ = 128822400.

The previous prime is 453238099. The next prime is 453238133. The reversal of 453238128 is 821832354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 453238092 and 453238101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211623 + ... + 213753.

Almost surely, 2453238128 is an apocalyptic number.

453238128 is a gapful number since it is divisible by the number (48) 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 453238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728598208).

453238128 is an abundant number, since it is smaller than the sum of its proper divisors (1003958288).

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

453238128 is a wasteful number, since it uses less digits than its factorization.

453238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2354 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 453238128 is about 21289.3900335355. The cubic root of 453238128 is about 768.1431211134.

The spelling of 453238128 in words is "four hundred fifty-three million, two hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 336 422 504 633 844 1008 1266 1477 1688 1899 2131 2532 2954 3376 3798 4262 4431 5064 5908 6393 7596 8524 8862 10128 11816 12786 13293 14917 15192 17048 17724 19179 23632 25572 26586 29834 30384 34096 35448 38358 44751 51144 53172 59668 70896 76716 89502 102288 106344 119336 134253 153432 179004 212688 238672 268506 306864 358008 449641 537012 716016 899282 1074024 1348923 1798564 2148048 2697846 3147487 3597128 4046769 5395692 6294974 7194256 8093538 9442461 10791384 12589948 16187076 18884922 21582768 25179896 28327383 32374152 37769844 50359792 56654766 64748304 75539688 113309532 151079376 226619064 453238128