Search a number
-
+
482597440 = 26513116009
BaseRepresentation
bin11100110000111…
…101101001000000
31020122002111020021
4130300331221000
51442021104230
6115515423224
714650003423
oct3460755100
91218074207
10482597440
11228460666
12115754b14
1378ca1020
14481459ba
152c57bc7a
hex1cc3da40

482597440 has 56 divisors (see below), whose sum is σ = 1237594680. Its totient is φ = 178188288.

The previous prime is 482597399. The next prime is 482597443. The reversal of 482597440 is 44795284.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 474891264 = 2776^2 + 21792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482597443) 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, 53845 + ... + 62164.

It is an arithmetic number, because the mean of its divisors is an integer number (22099905).

Almost surely, 2482597440 is an apocalyptic number.

482597440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482597440 is an abundant number, since it is smaller than the sum of its proper divisors (754997240).

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

482597440 is a wasteful number, since it uses less digits than its factorization.

482597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116039 (or 116029 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 482597440 is about 21968.1005096026. The cubic root of 482597440 is about 784.3832986217.

The spelling of 482597440 in words is "four hundred eighty-two million, five hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 116009 232018 464036 580045 928072 1160090 1508117 1856144 2320180 3016234 3712288 4640360 6032468 7424576 7540585 9280720 12064936 15081170 18561440 24129872 30162340 37122880 48259744 60324680 96519488 120649360 241298720 482597440