Search a number
-
+
484505040 = 243510931847
BaseRepresentation
bin11100111000001…
…111010111010000
31020202200101222010
4130320033113100
51443013130130
6120024342520
715002140065
oct3470172720
91222611863
10484505040
11229543898
12116314a40
13794bb396
14484c0c6c
152c8070b0
hex1ce0f5d0

484505040 has 80 divisors (see below), whose sum is σ = 1504153728. Its totient is φ = 129013248.

The previous prime is 484505039. The next prime is 484505057. The reversal of 484505040 is 40505484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 484504989 and 484505007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261397 + ... + 263243.

Almost surely, 2484505040 is an apocalyptic number.

484505040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484505040 is an abundant number, since it is smaller than the sum of its proper divisors (1019648688).

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

484505040 is a wasteful number, since it uses less digits than its factorization.

484505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 484505040 is about 22011.4751890917. The cubic root of 484505040 is about 785.4154372636.

The spelling of 484505040 in words is "four hundred eighty-four million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1093 1847 2186 3279 3694 4372 5465 5541 6558 7388 8744 9235 10930 11082 13116 14776 16395 17488 18470 21860 22164 26232 27705 29552 32790 36940 43720 44328 52464 55410 65580 73880 87440 88656 110820 131160 147760 221640 262320 443280 2018771 4037542 6056313 8075084 10093855 12112626 16150168 20187710 24225252 30281565 32300336 40375420 48450504 60563130 80750840 96901008 121126260 161501680 242252520 484505040