Search a number
-
+
47421440 = 211511421
BaseRepresentation
bin1011010011100…
…1100000000000
310022020020222122
42310321200000
544114441230
64412223412
71114034633
oct264714000
9108206878
1047421440
112484a480
1213a6ab68
139a94831
146425c1a
15426abe5
hex2d39800

47421440 has 96 divisors (see below), whose sum is σ = 124422480. Its totient is φ = 17203200.

The previous prime is 47421433. The next prime is 47421443. The reversal of 47421440 is 4412474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47421443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112430 + ... + 112850.

Almost surely, 247421440 is an apocalyptic number.

47421440 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 47421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62211240).

47421440 is an abundant number, since it is smaller than the sum of its proper divisors (77001040).

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

47421440 is a wasteful number, since it uses less digits than its factorization.

47421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 47421440 is about 6886.3226761458. The cubic root of 47421440 is about 361.9580550283.

The spelling of 47421440 in words is "forty-seven million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 421 440 512 640 704 842 880 1024 1280 1408 1684 1760 2048 2105 2560 2816 3368 3520 4210 4631 5120 5632 6736 7040 8420 9262 10240 11264 13472 14080 16840 18524 22528 23155 26944 28160 33680 37048 46310 53888 56320 67360 74096 92620 107776 112640 134720 148192 185240 215552 269440 296384 370480 431104 538880 592768 740960 862208 1077760 1185536 1481920 2155520 2371072 2963840 4311040 4742144 5927680 9484288 11855360 23710720 47421440