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5040738 = 23317319
BaseRepresentation
bin10011001110101001100010
3100111002121000
4103032221202
52242300423
6300012430
760563013
oct23165142
910432530
105040738
1129331aa
121831116
1310764b1
1495300a
15698843
hex4cea62

5040738 has 64 divisors (see below), whose sum is σ = 12528000. Its totient is φ = 1498176.

The previous prime is 5040731. The next prime is 5040767. The reversal of 5040738 is 8370405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5040731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265293 + ... + 265311.

It is an arithmetic number, because the mean of its divisors is an integer number (195750).

Almost surely, 25040738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264000).

5040738 is an abundant number, since it is smaller than the sum of its proper divisors (7487262).

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

5040738 is a wasteful number, since it uses less digits than its factorization.

5040738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5040738 is about 2245.1587917116. The cubic root of 5040738 is about 171.4607457467.

It can be divided in two parts, 5040 and 738, that added together give a triangular number (5778 = T107).

The spelling of 5040738 in words is "five million, forty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 289 306 323 342 459 513 578 646 867 918 969 1026 1734 1938 2601 2907 4913 5202 5491 5814 7803 8721 9826 10982 14739 15606 16473 17442 29478 32946 44217 49419 88434 93347 98838 132651 148257 186694 265302 280041 296514 560082 840123 1680246 2520369 5040738