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57453000 = 23353111741
BaseRepresentation
bin1101101100101…
…0100111001000
311000002220200220
43123022213020
5104201444000
65411230040
71265225313
oct333124710
9130086626
1057453000
112a481320
12172a8320
13bb97877
1478b797a
15509d1a0
hex36ca9c8

57453000 has 128 divisors (see below), whose sum is σ = 195661440. Its totient is φ = 13920000.

The previous prime is 57452999. The next prime is 57453001. The reversal of 57453000 is 35475.

57453000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57452999) and next prime (57453001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57453001) 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 31 ways as a sum of consecutive naturals, for example, 32130 + ... + 33870.

It is an arithmetic number, because the mean of its divisors is an integer number (1528605).

Almost surely, 257453000 is an apocalyptic number.

57453000 is a gapful number since it is divisible by the number (50) 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 57453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97830720).

57453000 is an abundant number, since it is smaller than the sum of its proper divisors (138208440).

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

57453000 is a wasteful number, since it uses less digits than its factorization.

57453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57453000 is about 7579.7757222757. The cubic root of 57453000 is about 385.8669393805.

Adding to 57453000 its reverse (35475), we get a palindrome (57488475).

The spelling of 57453000 in words is "fifty-seven million, four hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 1741 2200 2750 3000 3300 3482 4125 5223 5500 6600 6964 8250 8705 10446 11000 13928 16500 17410 19151 20892 26115 33000 34820 38302 41784 43525 52230 57453 69640 76604 87050 95755 104460 114906 130575 153208 174100 191510 208920 217625 229812 261150 287265 348200 383020 435250 459624 478775 522300 574530 652875 766040 870500 957550 1044600 1149060 1305750 1436325 1741000 1915100 2298120 2393875 2611500 2872650 3830200 4787750 5223000 5745300 7181625 9575500 11490600 14363250 19151000 28726500 57453000