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47438680 = 2353167571
BaseRepresentation
bin1011010011110…
…1101101011000
310022021010122011
42310331231120
544121014210
64412435304
71114136122
oct264755530
9108233564
1047438680
1124861423
1213a78b34
139a9c633
14642c212
154270d8a
hex2d3db58

47438680 has 64 divisors (see below), whose sum is σ = 112020480. Its totient is φ = 18057600.

The previous prime is 47438659. The next prime is 47438689. The reversal of 47438680 is 8683474.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47438689) 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, 82795 + ... + 83365.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 247438680 is an apocalyptic number.

47438680 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 47438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010240).

47438680 is an abundant number, since it is smaller than the sum of its proper divisors (64581800).

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

47438680 is a wasteful number, since it uses less digits than its factorization.

47438680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 47438680 is about 6887.5743190183. The cubic root of 47438680 is about 362.0019128334.

The spelling of 47438680 in words is "forty-seven million, four hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 268 310 335 536 571 620 670 1142 1240 1340 2077 2284 2680 2855 4154 4568 5710 8308 10385 11420 16616 17701 20770 22840 35402 38257 41540 70804 76514 83080 88505 141608 153028 177010 191285 306056 354020 382570 708040 765140 1185967 1530280 2371934 4743868 5929835 9487736 11859670 23719340 47438680