Search a number
-
+
488408880 = 24353755001
BaseRepresentation
bin11101000111001…
…000011100110000
31021001000202000210
4131013020130300
52000013041010
6120244144120
715050256411
oct3507103460
91231022023
10488408880
1123076a903
12117698040
137a25724b
1448c19808
152cd28b20
hex1d1c8730

488408880 has 80 divisors (see below), whose sum is σ = 1555016544. Its totient is φ = 126720000.

The previous prime is 488408873. The next prime is 488408881. The reversal of 488408880 is 88804884.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (488408881) 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 15 ways as a sum of consecutive naturals, for example, 18621 + ... + 36380.

Almost surely, 2488408880 is an apocalyptic number.

488408880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488408880 is an abundant number, since it is smaller than the sum of its proper divisors (1066607664).

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

488408880 is a wasteful number, since it uses less digits than its factorization.

488408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55054 (or 55048 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 488408880 is about 22099.9746606190. The cubic root of 488408880 is about 787.5192597960.

The spelling of 488408880 in words is "four hundred eighty-eight million, four hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 55001 110002 165003 220004 275005 330006 440008 550010 660012 825015 880016 1100020 1320024 1650030 2035037 2200040 2640048 3300060 4070074 4400080 6105111 6600120 8140148 10175185 12210222 13200240 16280296 20350370 24420444 30525555 32560592 40700740 48840888 61051110 81401480 97681776 122102220 162802960 244204440 488408880