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45262720 = 275197359
BaseRepresentation
bin1010110010101…
…0011110000000
310011011120210001
42230222132000
543041401340
64254045344
71056504166
oct254523600
9104146701
1045262720
1123605608
12131a9854
1394ba099
146023236
153e9129a
hex2b2a780

45262720 has 64 divisors (see below), whose sum is σ = 109058400. Its totient is φ = 17963008.

The previous prime is 45262667. The next prime is 45262751. The reversal of 45262720 is 2726254.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125901 + ... + 126259.

Almost surely, 245262720 is an apocalyptic number.

45262720 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 45262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54529200).

45262720 is an abundant number, since it is smaller than the sum of its proper divisors (63795680).

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

45262720 is a wasteful number, since it uses less digits than its factorization.

45262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45262720 is about 6727.7574272561. The cubic root of 45262720 is about 356.3801855175.

Adding to 45262720 its reverse (2726254), we get a palindrome (47988974).

The spelling of 45262720 in words is "forty-five million, two hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 320 359 394 640 718 788 985 1436 1576 1795 1970 2872 3152 3590 3940 5744 6304 7180 7880 11488 12608 14360 15760 22976 25216 28720 31520 45952 57440 63040 70723 114880 126080 141446 229760 282892 353615 565784 707230 1131568 1414460 2263136 2828920 4526272 5657840 9052544 11315680 22631360 45262720