Search a number
-
+
47230480 = 24511191281
BaseRepresentation
bin1011010000101…
…0111000010000
310021212120001001
42310022320100
544042333410
64404151344
71112311123
oct264127020
9107776031
1047230480
1124729a60
1213998554
139a2893b
1463b63ba
15422e33a
hex2d0ae10

47230480 has 80 divisors (see below), whose sum is σ = 120849408. Its totient is φ = 17024000.

The previous prime is 47230459. The next prime is 47230487. The reversal of 47230480 is 8403274.

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

It is not an unprimeable number, because it can be changed into a prime (47230487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167940 + ... + 168220.

Almost surely, 247230480 is an apocalyptic number.

47230480 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 47230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60424704).

47230480 is an abundant number, since it is smaller than the sum of its proper divisors (73618928).

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

47230480 is a wasteful number, since it uses less digits than its factorization.

47230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 47230480 is about 6872.4435246861. The cubic root of 47230480 is about 361.4715486664.

The spelling of 47230480 in words is "forty-seven million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 191 220 281 382 440 562 764 880 955 1124 1405 1528 1910 2101 2248 2810 3056 3091 3820 4202 4496 5620 6182 7640 8404 10505 11240 12364 15280 15455 16808 21010 22480 24728 30910 33616 42020 49456 53671 61820 84040 107342 123640 168080 214684 247280 268355 429368 536710 590381 858736 1073420 1180762 2146840 2361524 2951905 4293680 4723048 5903810 9446096 11807620 23615240 47230480