Search a number
-
+
45052488 = 233213127379
BaseRepresentation
bin1010101111011…
…1001001001000
310010202220101200
42223313021020
543013134423
64245344200
71054640235
oct253671110
9103686350
1045052488
1123481668
1213108060
1394454a0
145daa78c
153e4dd43
hex2af7248

45052488 has 96 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 13716864.

The previous prime is 45052451. The next prime is 45052489. The reversal of 45052488 is 88425054.

45052488 is a `hidden beast` number, since 4 + 50 + 524 + 88 = 666.

45052488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45052489) 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 23 ways as a sum of consecutive naturals, for example, 118683 + ... + 119061.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 245052488 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 45052488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393600).

45052488 is an abundant number, since it is smaller than the sum of its proper divisors (87734712).

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

45052488 is a wasteful number, since it uses less digits than its factorization.

45052488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45052488 is about 6712.1150168930. The cubic root of 45052488 is about 355.8275687276.

It can be divided in two parts, 450 and 52488, that multiplied together give a square (23619600 = 48602).

The spelling of 45052488 in words is "forty-five million, fifty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 379 381 468 508 758 762 936 1016 1137 1143 1516 1524 1651 2274 2286 3032 3048 3302 3411 4548 4572 4927 4953 6604 6822 9096 9144 9854 9906 13208 13644 14781 14859 19708 19812 27288 29562 29718 39416 39624 44343 48133 59124 59436 88686 96266 118248 118872 144399 177372 192532 288798 354744 385064 433197 577596 625729 866394 1155192 1251458 1732788 1877187 2502916 3465576 3754374 5005832 5631561 7508748 11263122 15017496 22526244 45052488