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5155584 = 28372137
BaseRepresentation
bin10011101010101100000000
3100200221010120
4103222230000
52304434314
6302300240
761551600
oct23525400
910627116
105155584
112a01515
121887680
1310b6855
14982c00
156bc8a9
hex4eab00

5155584 has 108 divisors (see below), whose sum is σ = 16078104. Its totient is φ = 1462272.

The previous prime is 5155567. The next prime is 5155603. The reversal of 5155584 is 4855515.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37564 + ... + 37700.

Almost surely, 25155584 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 5155584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039052).

5155584 is an abundant number, since it is smaller than the sum of its proper divisors (10922520).

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

5155584 is a wasteful number, since it uses less digits than its factorization.

5155584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 20000, while the sum is 33.

The square root of 5155584 is about 2270.5911124639. The cubic root of 5155584 is about 172.7531423017.

The spelling of 5155584 in words is "five million, one hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 137 147 168 192 196 224 256 274 294 336 384 392 411 448 548 588 672 768 784 822 896 959 1096 1176 1344 1568 1644 1792 1918 2192 2352 2688 2877 3136 3288 3836 4384 4704 5376 5754 6272 6576 6713 7672 8768 9408 11508 12544 13152 13426 15344 17536 18816 20139 23016 26304 26852 30688 35072 37632 40278 46032 52608 53704 61376 80556 92064 105216 107408 122752 161112 184128 214816 245504 322224 368256 429632 644448 736512 859264 1288896 1718528 2577792 5155584