Search a number
-
+
47854680 = 23351073727
BaseRepresentation
bin1011011010001…
…1010001011000
310100001021021120
42312203101120
544222322210
64425405240
71120521006
oct266432130
9110037246
1047854680
1125015a25
1214039820
139bb6aa3
1464d9a76
154304270
hex2da3458

47854680 has 64 divisors (see below), whose sum is σ = 144944640. Its totient is φ = 12638592.

The previous prime is 47854679. The next prime is 47854687. The reversal of 47854680 is 8645874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47854687) 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, 10977 + ... + 14703.

It is an arithmetic number, because the mean of its divisors is an integer number (2264760).

Almost surely, 247854680 is an apocalyptic number.

47854680 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 47854680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72472320).

47854680 is an abundant number, since it is smaller than the sum of its proper divisors (97089960).

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

47854680 is a wasteful number, since it uses less digits than its factorization.

47854680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 47854680 is about 6917.7077128193. The cubic root of 47854680 is about 363.0569923189.

The spelling of 47854680 in words is "forty-seven million, eight hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 3727 4280 6420 7454 11181 12840 14908 18635 22362 29816 37270 44724 55905 74540 89448 111810 149080 223620 398789 447240 797578 1196367 1595156 1993945 2392734 3190312 3987890 4785468 5981835 7975780 9570936 11963670 15951560 23927340 47854680