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1451464128 = 2632233312
BaseRepresentation
bin101011010000011…
…1001010111000000
310202011012000110200
41112200321113000
510433033323003
6400005525200
750653145562
oct12640712700
93664160420
101451464128
1168534a534
12346113800
131a192a41a
14daaab332
158765d6a3
hex568395c0

1451464128 has 126 divisors (see below), whose sum is σ = 4354400232. Its totient is φ = 461387520.

The previous prime is 1451464109. The next prime is 1451464129. The reversal of 1451464128 is 8214641541.

1451464128 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 641 + 2 + 8 = 666.

It is a super-2 number, since 2×14514641282 = 4213496229741600768, which contains 22 as substring.

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 = 1451464092 and 1451464101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451464129) 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 17 ways as a sum of consecutive naturals, for example, 4384923 + ... + 4385253.

It is an arithmetic number, because the mean of its divisors is an integer number (34558732).

Almost surely, 21451464128 is an apocalyptic number.

1451464128 is a gapful number since it is divisible by the number (18) 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 1451464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177200116).

1451464128 is an abundant number, since it is smaller than the sum of its proper divisors (2902936104).

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

1451464128 is an equidigital number, since it uses as much as digits as its factorization.

1451464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 359 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1451464128 is about 38098.0856211962. The cubic root of 1451464128 is about 1132.2320275875.

The spelling of 1451464128 in words is "one billion, four hundred fifty-one million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 331 368 414 552 576 662 736 828 993 1104 1324 1472 1656 1986 2208 2648 2979 3312 3972 4416 5296 5958 6624 7613 7944 10592 11916 13248 15226 15888 21184 22839 23832 30452 31776 45678 47664 60904 63552 68517 91356 95328 109561 121808 137034 182712 190656 219122 243616 274068 328683 365424 438244 487232 548136 657366 730848 876488 986049 1096272 1314732 1461696 1752976 1972098 2192544 2519903 2629464 3505952 3944196 4385088 5039806 5258928 7011904 7559709 7888392 10079612 10517856 15119418 15776784 20159224 21035712 22679127 30238836 31553568 40318448 45358254 60477672 63107136 80636896 90716508 120955344 161273792 181433016 241910688 362866032 483821376 725732064 1451464128