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47071164 = 22372172277
BaseRepresentation
bin1011001110001…
…1111110111100
310021120110111110
42303203332330
544022234124
64400522020
71111045500
oct263437674
9107513443
1047071164
1124630298
1213920310
1399a127a
146374300
1541ec029
hex2ce3fbc

47071164 has 108 divisors (see below), whose sum is σ = 136212216. Its totient is φ = 12612096.

The previous prime is 47071159. The next prime is 47071177. The reversal of 47071164 is 46117074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169794 + ... + 170070.

Almost surely, 247071164 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 47071164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68106108).

47071164 is an abundant number, since it is smaller than the sum of its proper divisors (89141052).

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

47071164 is a wasteful number, since it uses less digits than its factorization.

47071164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 47071164 is about 6860.8428053702. The cubic root of 47071164 is about 361.0646569425.

The spelling of 47071164 in words is "forty-seven million, seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 277 289 294 357 476 554 578 588 714 831 833 867 1108 1156 1428 1662 1666 1734 1939 2023 2499 3324 3332 3468 3878 4046 4709 4998 5817 6069 7756 8092 9418 9996 11634 12138 13573 14127 14161 18836 23268 24276 27146 28254 28322 32963 40719 42483 54292 56508 56644 65926 80053 81438 84966 98889 131852 160106 162876 169932 197778 230741 240159 320212 395556 461482 480318 560371 692223 922964 960636 1120742 1384446 1681113 2241484 2768892 3362226 3922597 6724452 7845194 11767791 15690388 23535582 47071164