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47238940 = 22572194359
BaseRepresentation
bin1011010000110…
…0111100011100
310021212222122101
42310030330130
544043121230
64404254444
71112344600
oct264147434
9107788571
1047238940
1124735351
12139a1424
139a2c748
1463b9500
154231aca
hex2d0cf1c

47238940 has 144 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 14732928.

The previous prime is 47238931. The next prime is 47238967. The reversal of 47238940 is 4983274.

It is a happy number.

47238940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47238940.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 800631 + ... + 800689.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 247238940 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 47238940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

47238940 is an abundant number, since it is smaller than the sum of its proper divisors (79164260).

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

47238940 is a wasteful number, since it uses less digits than its factorization.

47238940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 47238940 is about 6873.0589987283. The cubic root of 47238940 is about 361.4931298342.

The spelling of 47238940 in words is "forty-seven million, two hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 49 59 70 76 86 95 98 118 133 140 172 190 196 215 236 245 266 295 301 380 413 430 490 532 590 602 665 817 826 860 931 980 1121 1180 1204 1330 1505 1634 1652 1862 2065 2107 2242 2537 2660 2891 3010 3268 3724 4085 4130 4214 4484 4655 5074 5605 5719 5782 6020 7847 8170 8260 8428 9310 10148 10535 11210 11438 11564 12685 14455 15694 16340 17759 18620 21070 22420 22876 25370 28595 28910 31388 35518 39235 40033 42140 48203 50740 54929 57190 57820 71036 78470 80066 88795 96406 109858 114380 124313 156940 160132 177590 192812 200165 219716 241015 248626 274645 337421 355180 400330 482030 497252 549290 621565 674842 800660 964060 1098580 1243130 1349684 1687105 2361947 2486260 3374210 4723894 6748420 9447788 11809735 23619470 47238940