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47368960 = 285231609
BaseRepresentation
bin1011010010110…
…0101100000000
310022010120222221
42310230230000
544111301320
64411140424
71113425632
oct264545400
9108116887
1047368960
1124814001
1213a44714
139a76992
146410a52
15425a3aa
hex2d2cb00

47368960 has 72 divisors (see below), whose sum is σ = 118470240. Its totient is φ = 18112512.

The previous prime is 47368931. The next prime is 47368969. The reversal of 47368960 is 6986374.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47368969) 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, 28636 + ... + 30244.

It is an arithmetic number, because the mean of its divisors is an integer number (1645420).

Almost surely, 247368960 is an apocalyptic number.

47368960 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 47368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59235120).

47368960 is an abundant number, since it is smaller than the sum of its proper divisors (71101280).

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

47368960 is a wasteful number, since it uses less digits than its factorization.

47368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 47368960 is about 6882.5111696241. The cubic root of 47368960 is about 361.8244827431.

The spelling of 47368960 in words is "forty-seven million, three hundred sixty-eight thousand, nine hundred sixty".

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 1609 1840 2944 3218 3680 5888 6436 7360 8045 12872 14720 16090 25744 29440 32180 37007 51488 64360 74014 102976 128720 148028 185035 205952 257440 296056 370070 411904 514880 592112 740140 1029760 1184224 1480280 2059520 2368448 2960560 4736896 5921120 9473792 11842240 23684480 47368960