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47250216 = 2334137179
BaseRepresentation
bin1011010000111…
…1101100101000
310021220120010000
42310033230220
544044001331
64404423000
71112422506
oct264175450
9107816100
1047250216
1124742872
12139a7a60
139a34910
1463bd676
1542350e6
hex2d0fb28

47250216 has 160 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 14152320.

The previous prime is 47250197. The next prime is 47250227. The reversal of 47250216 is 61205274.

47250216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 47250216.

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 39 ways as a sum of consecutive naturals, for example, 598065 + ... + 598143.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 247250216 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 47250216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

47250216 is an abundant number, since it is smaller than the sum of its proper divisors (99111384).

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

47250216 is a wasteful number, since it uses less digits than its factorization.

47250216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47250216 is about 6873.8792541039. The cubic root of 47250216 is about 361.5218905151.

The spelling of 47250216 in words is "forty-seven million, two hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 79 81 104 108 117 142 156 158 162 213 216 234 237 284 312 316 324 351 426 468 474 568 632 639 648 702 711 852 923 936 948 1027 1053 1278 1404 1422 1704 1846 1896 1917 2054 2106 2133 2556 2769 2808 2844 3081 3692 3834 4108 4212 4266 5112 5538 5609 5688 5751 6162 6399 7384 7668 8216 8307 8424 8532 9243 11076 11218 11502 12324 12798 15336 16614 16827 17064 18486 22152 22436 23004 24648 24921 25596 27729 33228 33654 36972 44872 46008 49842 50481 51192 55458 66456 67308 72917 73944 74763 83187 99684 100962 110916 134616 145834 149526 151443 166374 199368 201924 218751 221832 291668 299052 302886 332748 403848 437502 454329 583336 598104 605772 656253 665496 875004 908658 1211544 1312506 1750008 1817316 1968759 2625012 3634632 3937518 5250024 5906277 7875036 11812554 15750072 23625108 47250216