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5038656 = 263723163
BaseRepresentation
bin10011001110001001000000
3100110222201220
4103032021000
52242214111
6255555040
760553650
oct23161100
910428656
105038656
112931687
12182ba80
13107556c
14952360
15697e06
hex4ce240

5038656 has 112 divisors (see below), whose sum is σ = 15995904. Its totient is φ = 1368576.

The previous prime is 5038643. The next prime is 5038673. The reversal of 5038656 is 6568305.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30831 + ... + 30993.

Almost surely, 25038656 is an apocalyptic number.

5038656 is a gapful number since it is divisible by the number (56) 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 5038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997952).

5038656 is an abundant number, since it is smaller than the sum of its proper divisors (10957248).

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

5038656 is a wasteful number, since it uses less digits than its factorization.

5038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5038656 is about 2244.6950795153. The cubic root of 5038656 is about 171.4371360800.

The spelling of 5038656 in words is "five million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 163 168 184 192 224 276 322 326 336 368 448 483 489 552 644 652 672 736 966 978 1104 1141 1288 1304 1344 1472 1932 1956 2208 2282 2576 2608 3423 3749 3864 3912 4416 4564 5152 5216 6846 7498 7728 7824 9128 10304 10432 11247 13692 14996 15456 15648 18256 22494 26243 27384 29992 30912 31296 36512 44988 52486 54768 59984 73024 78729 89976 104972 109536 119968 157458 179952 209944 219072 239936 314916 359904 419888 629832 719808 839776 1259664 1679552 2519328 5038656