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47663720 = 23513711291
BaseRepresentation
bin1011010111010…
…0101001101000
310022200120022222
42311310221220
544200214340
64421333212
71116064166
oct265645150
9108616288
1047663720
11249a5505
1213b67208
139b4abb0
14648a236
1542b78b5
hex2d74a68

47663720 has 64 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 17337600.

The previous prime is 47663701. The next prime is 47663731. The reversal of 47663720 is 2736674.

47663720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36275 + ... + 37565.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 247663720 is an apocalyptic number.

47663720 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 47663720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

47663720 is an abundant number, since it is smaller than the sum of its proper divisors (69546520).

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

47663720 is a wasteful number, since it uses less digits than its factorization.

47663720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 47663720 is about 6903.8916561603. The cubic root of 47663720 is about 362.5734326067.

The spelling of 47663720 in words is "forty-seven million, six hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1291 1420 1846 2582 2840 3692 4615 5164 6455 7384 9230 10328 12910 16783 18460 25820 33566 36920 51640 67132 83915 91661 134264 167830 183322 335660 366644 458305 671320 733288 916610 1191593 1833220 2383186 3666440 4766372 5957965 9532744 11915930 23831860 47663720