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47273940 = 223257172207
BaseRepresentation
bin1011010001010…
…1011111010100
310021221202122200
42310111133110
544100231230
64405124500
71112551620
oct264253724
9107852580
1047273940
112475967a
12139b9730
139a4265c
1463c8180
15423c160
hex2d157d4

47273940 has 144 divisors (see below), whose sum is σ = 173601792. Its totient is φ = 10165248.

The previous prime is 47273939. The next prime is 47273969. The reversal of 47273940 is 4937274.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47273895 and 47273904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20317 + ... + 22523.

It is an arithmetic number, because the mean of its divisors is an integer number (1205568).

Almost surely, 247273940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47273940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800896).

47273940 is an abundant number, since it is smaller than the sum of its proper divisors (126327852).

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

47273940 is a wasteful number, since it uses less digits than its factorization.

47273940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47273940 is about 6875.6047006791. The cubic root of 47273940 is about 361.5823862547.

The spelling of 47273940 in words is "forty-seven million, two hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2207 2380 3060 3570 4284 4414 5355 6621 7140 8828 10710 11035 13242 15449 19863 21420 22070 26484 30898 33105 37519 39726 44140 46347 61796 66210 75038 77245 79452 92694 99315 112557 132420 139041 150076 154490 185388 187595 198630 225114 231735 262633 278082 308980 337671 375190 397260 450228 463470 525266 556164 562785 675342 695205 750380 787899 926940 1050532 1125570 1313165 1350684 1390410 1575798 1688355 2251140 2363697 2626330 2780820 3151596 3376710 3939495 4727394 5252660 6753420 7878990 9454788 11818485 15757980 23636970 47273940