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45405300 = 223521729307
BaseRepresentation
bin1010110100110…
…1010001110100
310011102211100210
42231031101310
543110432200
64301105420
71060636653
oct255152164
9104384323
1045405300
11236a2746
1213258270
139539c55
14605d19a
153ebd650
hex2b4d474

45405300 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 10967040.

The previous prime is 45405299. The next prime is 45405313. The reversal of 45405300 is 350454.

It is a happy number.

45405300 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 47 ways as a sum of consecutive naturals, for example, 147747 + ... + 148053.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 245405300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

45405300 is an abundant number, since it is smaller than the sum of its proper divisors (98960460).

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

45405300 is a wasteful number, since it uses less digits than its factorization.

45405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

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

The square root of 45405300 is about 6738.3454942590. The cubic root of 45405300 is about 356.7539988588.

Adding to 45405300 its reverse (350454), we get a palindrome (45755754).

The spelling of 45405300 in words is "forty-five million, four hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 307 340 348 425 435 493 510 580 614 725 850 870 921 986 1020 1228 1275 1450 1479 1535 1700 1740 1842 1972 2175 2465 2550 2900 2958 3070 3684 4350 4605 4930 5100 5219 5916 6140 7395 7675 8700 8903 9210 9860 10438 12325 14790 15350 15657 17806 18420 20876 23025 24650 26095 26709 29580 30700 31314 35612 36975 44515 46050 49300 52190 53418 62628 73950 78285 89030 92100 104380 106836 130475 133545 147900 151351 156570 178060 222575 260950 267090 302702 313140 391425 445150 454053 521900 534180 605404 667725 756755 782850 890300 908106 1335450 1513510 1565700 1816212 2270265 2670900 3027020 3783775 4540530 7567550 9081060 11351325 15135100 22702650 45405300