Search a number
-
+
45216720 = 2432562801
BaseRepresentation
bin1010110001111…
…1001111010000
310011002020200100
42230133033100
543033413340
64253052400
71056223113
oct254371720
9104066610
1045216720
1123583a9a
1213187100
1394a2173
14601057a
153e82830
hex2b1f3d0

45216720 has 60 divisors (see below), whose sum is σ = 151855236. Its totient is φ = 12057600.

The previous prime is 45216709. The next prime is 45216733. The reversal of 45216720 is 2761254.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 36288576 = 2988^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30681 + ... + 32120.

Almost surely, 245216720 is an apocalyptic number.

45216720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45216720 is an abundant number, since it is smaller than the sum of its proper divisors (106638516).

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

45216720 is a wasteful number, since it uses less digits than its factorization.

45216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62820 (or 62811 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45216720 is about 6724.3378856212. The cubic root of 45216720 is about 356.2594161869.

Adding to 45216720 its reverse (2761254), we get a palindrome (47977974).

The spelling of 45216720 in words is "forty-five million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 62801 125602 188403 251204 314005 376806 502408 565209 628010 753612 942015 1004816 1130418 1256020 1507224 1884030 2260836 2512040 2826045 3014448 3768060 4521672 5024080 5652090 7536120 9043344 11304180 15072240 22608360 45216720