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5904288 = 2532131983
BaseRepresentation
bin10110100001011110100000
3102002222011100
4112201132200
53002414123
6330314400
7101120445
oct26413640
912088140
105904288
113372a85
121b88a00
1312b9580
14ad99cc
157b9643
hex5a17a0

5904288 has 144 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1700352.

The previous prime is 5904271. The next prime is 5904319. The reversal of 5904288 is 8824095.

5904288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71095 + ... + 71177.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 25904288 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 5904288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

5904288 is an abundant number, since it is smaller than the sum of its proper divisors (13358592).

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

5904288 is a wasteful number, since it uses less digits than its factorization.

5904288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5904288 is about 2429.8740708111. The cubic root of 5904288 is about 180.7406519387.

The spelling of 5904288 in words is "five million, nine hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 83 96 104 114 117 144 152 156 166 171 208 228 234 247 249 288 304 312 332 342 416 456 468 494 498 608 624 664 684 741 747 912 936 988 996 1079 1248 1328 1368 1482 1494 1577 1824 1872 1976 1992 2158 2223 2656 2736 2964 2988 3154 3237 3744 3952 3984 4316 4446 4731 5472 5928 5976 6308 6474 7904 7968 8632 8892 9462 9711 11856 11952 12616 12948 14193 17264 17784 18924 19422 20501 23712 23904 25232 25896 28386 34528 35568 37848 38844 41002 50464 51792 56772 61503 71136 75696 77688 82004 103584 113544 123006 151392 155376 164008 184509 227088 246012 310752 328016 369018 454176 492024 656032 738036 984048 1476072 1968096 2952144 5904288