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5038040 = 235719947
BaseRepresentation
bin10011001101111111011000
3100110221220002
4103031333120
52242204130
6255552132
760552110
oct23157730
910427802
105038040
112931177
12182b648
1310751b7
14952040
15697b45
hex4cdfd8

5038040 has 64 divisors (see below), whose sum is σ = 13651200. Its totient is φ = 1634688.

The previous prime is 5038037. The next prime is 5038043. The reversal of 5038040 is 408305.

It is an interprime number because it is at equal distance from previous prime (5038037) and next prime (5038043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4847 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (213300).

Almost surely, 25038040 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 5038040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825600).

5038040 is an abundant number, since it is smaller than the sum of its proper divisors (8613160).

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

5038040 is a wasteful number, since it uses less digits than its factorization.

5038040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5038040 is about 2244.5578629209. The cubic root of 5038040 is about 171.4301494564.

The spelling of 5038040 in words is "five million, thirty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 947 1064 1330 1894 2660 3788 4735 5320 6629 7576 9470 13258 17993 18940 26516 33145 35986 37880 53032 66290 71972 89965 125951 132580 143944 179930 251902 265160 359860 503804 629755 719720 1007608 1259510 2519020 5038040