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45054720 = 283253911
BaseRepresentation
bin1010101111011…
…1101100000000
310010210000110100
42223313230000
543013222340
64245402400
71054646604
oct253675400
9103700410
1045054720
1123483307
1213109400
1394464c9
145dab504
153e4e830
hex2af7b00

45054720 has 108 divisors (see below), whose sum is σ = 155924496. Its totient is φ = 12011520.

The previous prime is 45054707. The next prime is 45054721. The reversal of 45054720 is 2745054.

45054720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45054721) 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 11 ways as a sum of consecutive naturals, for example, 9565 + ... + 13475.

Almost surely, 245054720 is an apocalyptic number.

45054720 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 45054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77962248).

45054720 is an abundant number, since it is smaller than the sum of its proper divisors (110869776).

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

45054720 is a wasteful number, since it uses less digits than its factorization.

45054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45054720 is about 6712.2812813529. The cubic root of 45054720 is about 355.8334447924.

Adding to 45054720 its reverse (2745054), we get a palindrome (47799774).

The spelling of 45054720 in words is "forty-five million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 3911 5760 7822 11520 11733 15644 19555 23466 31288 35199 39110 46932 58665 62576 70398 78220 93864 117330 125152 140796 156440 175995 187728 234660 250304 281592 312880 351990 375456 469320 500608 563184 625760 703980 750912 938640 1001216 1126368 1251520 1407960 1501824 1877280 2252736 2503040 2815920 3003648 3754560 4505472 5006080 5631840 7509120 9010944 11263680 15018240 22527360 45054720