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47289144 = 23374753113
BaseRepresentation
bin1011010001100…
…1001100111000
310021222112111210
42310121030320
544101223034
64405323120
71112644140
oct264311470
9107875453
1047289144
112476a041
1213a064a0
139a49556
1463cd920
1542418e9
hex2d19338

47289144 has 128 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 12859392.

The previous prime is 47289139. The next prime is 47289199. The reversal of 47289144 is 44198274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418432 + ... + 418544.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 247289144 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 47289144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120).

47289144 is an abundant number, since it is smaller than the sum of its proper divisors (94545096).

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

47289144 is a wasteful number, since it uses less digits than its factorization.

47289144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 47289144 is about 6876.7102600008. The cubic root of 47289144 is about 361.6211455186.

The spelling of 47289144 in words is "forty-seven million, two hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 53 56 84 94 106 113 141 159 168 188 212 226 282 318 329 339 371 376 424 452 564 636 658 678 742 791 904 987 1113 1128 1272 1316 1356 1484 1582 1974 2226 2373 2491 2632 2712 2968 3164 3948 4452 4746 4982 5311 5989 6328 7473 7896 8904 9492 9964 10622 11978 14946 15933 17437 17967 18984 19928 21244 23956 29892 31866 34874 35934 37177 41923 42488 47912 52311 59784 63732 69748 71868 74354 83846 104622 111531 125769 127464 139496 143736 148708 167692 209244 223062 251538 281483 297416 335384 418488 446124 503076 562966 844449 892248 1006152 1125932 1688898 1970381 2251864 3377796 3940762 5911143 6755592 7881524 11822286 15763048 23644572 47289144