Search a number
-
+
45927240 = 2335382727
BaseRepresentation
bin1010111100110…
…0101101001000
310012102100022220
42233030231020
543224132430
64320214040
71065242442
oct257145510
9105370286
1045927240
1123a198a7
121346a320
1396906a8
146157492
154073110
hex2bccb48

45927240 has 32 divisors (see below), whose sum is σ = 137782080. Its totient is φ = 12247232.

The previous prime is 45927239. The next prime is 45927241. The reversal of 45927240 is 4272954.

45927240 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 (45927239) and next prime (45927241).

It is a super-2 number, since 2×459272402 = 4218622748035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45927241) 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 7 ways as a sum of consecutive naturals, for example, 191244 + ... + 191483.

It is an arithmetic number, because the mean of its divisors is an integer number (4305690).

Almost surely, 245927240 is an apocalyptic number.

45927240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45927240 is an abundant number, since it is smaller than the sum of its proper divisors (91854840).

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

45927240 is a wasteful number, since it uses less digits than its factorization.

45927240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382741 (or 382737 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45927240 is about 6776.9639219934. The cubic root of 45927240 is about 358.1157725085.

The spelling of 45927240 in words is "forty-five million, nine hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 382727 765454 1148181 1530908 1913635 2296362 3061816 3827270 4592724 5740905 7654540 9185448 11481810 15309080 22963620 45927240