Search a number
-
+
483405480 = 233256122013
BaseRepresentation
bin11100110100000…
…010111010101000
31020200121112122200
4130310002322220
51442222433410
6115545020200
714656610265
oct3464027250
91220545580
10483405480
11228962768
12115a84660
13791c4a5c
14482b626c
152c68b3c0
hex1cd02ea8

483405480 has 96 divisors (see below), whose sum is σ = 1596895560. Its totient is φ = 126789120.

The previous prime is 483405479. The next prime is 483405499. The reversal of 483405480 is 84504384.

It can be written as a sum of positive squares in 4 ways, for example, as 298391076 + 185014404 = 17274^2 + 13602^2 .

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

It is an unprimeable number.

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, 10954 + ... + 32966.

Almost surely, 2483405480 is an apocalyptic number.

483405480 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 483405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798447780).

483405480 is an abundant number, since it is smaller than the sum of its proper divisors (1113490080).

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

483405480 is a wasteful number, since it uses less digits than its factorization.

483405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22091 (or 22084 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 483405480 is about 21986.4840299671. The cubic root of 483405480 is about 784.8208335206.

The spelling of 483405480 in words is "four hundred eighty-three million, four hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 22013 44026 66039 88052 110065 132078 176104 198117 220130 264156 330195 396234 440260 528312 660390 792468 880520 990585 1320780 1342793 1584936 1981170 2641560 2685586 3962340 4028379 5371172 6713965 7924680 8056758 10742344 12085137 13427930 16113516 20141895 24170274 26855860 32227032 40283790 48340548 53711720 60425685 80567580 96681096 120851370 161135160 241702740 483405480