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47034720 = 2532589367
BaseRepresentation
bin1011001101101…
…1000101100000
310021111121111200
42303123011200
544020102340
64400041200
71110534315
oct263330540
9107447450
1047034720
1124605977
1213903200
13998a7c5
146364d0c
1541e1330
hex2cdb160

47034720 has 144 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 12367872.

The previous prime is 47034697. The next prime is 47034727. The reversal of 47034720 is 2743074.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47034727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127977 + ... + 128343.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 247034720 is an apocalyptic number.

47034720 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 47034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

47034720 is an abundant number, since it is smaller than the sum of its proper divisors (115716960).

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

47034720 is a wasteful number, since it uses less digits than its factorization.

47034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 47034720 is about 6858.1863491742. The cubic root of 47034720 is about 360.9714502837.

Adding to 47034720 its reverse (2743074), we get a palindrome (49777794).

The spelling of 47034720 in words is "forty-seven million, thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 178 180 240 267 288 356 360 367 445 480 534 712 720 734 801 890 1068 1101 1335 1424 1440 1468 1602 1780 1835 2136 2202 2670 2848 2936 3204 3303 3560 3670 4005 4272 4404 5340 5505 5872 6408 6606 7120 7340 8010 8544 8808 10680 11010 11744 12816 13212 14240 14680 16020 16515 17616 21360 22020 25632 26424 29360 32040 32663 33030 35232 42720 44040 52848 58720 64080 65326 66060 88080 97989 105696 128160 130652 132120 163315 176160 195978 261304 264240 293967 326630 391956 489945 522608 528480 587934 653260 783912 979890 1045216 1175868 1306520 1469835 1567824 1959780 2351736 2613040 2939670 3135648 3919560 4703472 5226080 5879340 7839120 9406944 11758680 15678240 23517360 47034720