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47889864 = 233211223239
BaseRepresentation
bin1011011010101…
…1110111001000
310100010001112200
42312223313020
544224433424
64430240200
71121025411
oct266536710
9110101480
1047889864
112503a400
1214056060
139bc9ac9
146508808
15430e8c9
hex2dabdc8

47889864 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 13823040.

The previous prime is 47889859. The next prime is 47889893. The reversal of 47889864 is 46898874.

It is a self number, because there is not a number n which added to its sum of digits gives 47889864.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200257 + ... + 200495.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 247889864 is an apocalyptic number.

47889864 is a gapful number since it is divisible by the number (44) 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 47889864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

47889864 is an abundant number, since it is smaller than the sum of its proper divisors (101495736).

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

47889864 is a wasteful number, since it uses less digits than its factorization.

47889864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 47889864 is about 6920.2502844912. The cubic root of 47889864 is about 363.1459468228.

The spelling of 47889864 in words is "forty-seven million, eight hundred eighty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 121 132 138 184 198 207 239 242 253 264 276 363 396 414 478 484 506 552 717 726 759 792 828 956 968 1012 1089 1434 1452 1518 1656 1912 2024 2151 2178 2277 2629 2783 2868 2904 3036 4302 4356 4554 5258 5497 5566 5736 6072 7887 8349 8604 8712 9108 10516 10994 11132 15774 16491 16698 17208 18216 21032 21988 22264 23661 25047 28919 31548 32982 33396 43976 47322 49473 50094 57838 60467 63096 65964 66792 86757 94644 98946 100188 115676 120934 131928 173514 181401 189288 197892 200376 231352 241868 260271 347028 362802 395784 483736 520542 544203 665137 694056 725604 1041084 1088406 1330274 1451208 1995411 2082168 2176812 2660548 3990822 4353624 5321096 5986233 7981644 11972466 15963288 23944932 47889864