Search a number
-
+
47310080 = 285231607
BaseRepresentation
bin1011010001111…
…0010100000000
310022000121020012
42310132110000
544102410310
64410004052
71113062156
oct264362400
9108017205
1047310080
1124783844
1213a16628
139a55c3c
1463d73d6
154247c05
hex2d1e500

47310080 has 72 divisors (see below), whose sum is σ = 118323072. Its totient is φ = 18089984.

The previous prime is 47310071. The next prime is 47310113. The reversal of 47310080 is 8001374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28637 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (1643376).

Almost surely, 247310080 is an apocalyptic number.

47310080 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 47310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59161536).

47310080 is an abundant number, since it is smaller than the sum of its proper divisors (71012992).

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

47310080 is a wasteful number, since it uses less digits than its factorization.

47310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 47310080 is about 6878.2323310572. The cubic root of 47310080 is about 361.6745036657.

The spelling of 47310080 in words is "forty-seven million, three hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1607 1840 2944 3214 3680 5888 6428 7360 8035 12856 14720 16070 25712 29440 32140 36961 51424 64280 73922 102848 128560 147844 184805 205696 257120 295688 369610 411392 514240 591376 739220 1028480 1182752 1478440 2056960 2365504 2956880 4731008 5913760 9462016 11827520 23655040 47310080