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45453000 = 23353109139
BaseRepresentation
bin1010110101100…
…0111011001000
310011112020210110
42231120323020
543113444000
64302114320
71061226015
oct255307310
9104466713
1045453000
112372556a
121327b9a0
139555888
14607270c
153ecc850
hex2b58ec8

45453000 has 128 divisors (see below), whose sum is σ = 144144000. Its totient is φ = 11923200.

The previous prime is 45452999. The next prime is 45453011. The reversal of 45453000 is 35454.

It is a happy number.

45453000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 326931 + ... + 327069.

It is an arithmetic number, because the mean of its divisors is an integer number (1126125).

Almost surely, 245453000 is an apocalyptic number.

45453000 is a gapful number since it is divisible by the number (40) 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 45453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072000).

45453000 is an abundant number, since it is smaller than the sum of its proper divisors (98691000).

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

45453000 is a wasteful number, since it uses less digits than its factorization.

45453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45453000 is about 6741.8840096816. The cubic root of 45453000 is about 356.8788830328.

Adding to 45453000 its reverse (35454), we get a palindrome (45488454).

The spelling of 45453000 in words is "forty-five million, four hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 125 139 150 200 218 250 278 300 327 375 417 436 500 545 556 600 654 695 750 834 872 1000 1090 1112 1308 1390 1500 1635 1668 2085 2180 2616 2725 2780 3000 3270 3336 3475 4170 4360 5450 5560 6540 6950 8175 8340 10425 10900 13080 13625 13900 15151 16350 16680 17375 20850 21800 27250 27800 30302 32700 34750 40875 41700 45453 52125 54500 60604 65400 69500 75755 81750 83400 90906 104250 109000 121208 139000 151510 163500 181812 208500 227265 303020 327000 363624 378775 417000 454530 606040 757550 909060 1136325 1515100 1818120 1893875 2272650 3030200 3787750 4545300 5681625 7575500 9090600 11363250 15151000 22726500 45453000