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47223680 = 275783127
BaseRepresentation
bin1011010000100…
…1001110000000
310021212012201012
42310021032000
544042124210
64404100052
71112252240
oct264111600
9107765635
1047223680
1124724939
1213994628
139a2580a
1463b3b20
15422c305
hex2d09380

47223680 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 15869952.

The previous prime is 47223679. The next prime is 47223691. The reversal of 47223680 is 8632274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371777 + ... + 371903.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 247223680 is an apocalyptic number.

47223680 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 47223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

47223680 is an abundant number, since it is smaller than the sum of its proper divisors (84380800).

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

47223680 is a wasteful number, since it uses less digits than its factorization.

47223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 47223680 is about 6871.9487774575. The cubic root of 47223680 is about 361.4542002331.

The spelling of 47223680 in words is "forty-seven million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 127 128 140 160 166 224 254 280 320 332 415 448 508 560 581 635 640 664 830 889 896 1016 1120 1162 1270 1328 1660 1778 2032 2240 2324 2540 2656 2905 3320 3556 4064 4445 4480 4648 5080 5312 5810 6640 7112 8128 8890 9296 10160 10541 10624 11620 13280 14224 16256 17780 18592 20320 21082 23240 26560 28448 35560 37184 40640 42164 46480 52705 53120 56896 71120 73787 74368 81280 84328 92960 105410 113792 142240 147574 168656 185920 210820 284480 295148 337312 368935 371840 421640 568960 590296 674624 737870 843280 1180592 1349248 1475740 1686560 2361184 2951480 3373120 4722368 5902960 6746240 9444736 11805920 23611840 47223680