Search a number
-
+
5035590 = 232577993
BaseRepresentation
bin10011001101011001000110
3100110211112100
4103031121012
52242114330
6255532530
760542010
oct23153106
910424470
105035590
11292a34a
12182a146
131074051
149511b0
15697060
hex4cd646

5035590 has 48 divisors (see below), whose sum is σ = 14964768. Its totient is φ = 1150848.

The previous prime is 5035577. The next prime is 5035631. The reversal of 5035590 is 955305.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3367 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (311766).

Almost surely, 25035590 is an apocalyptic number.

5035590 is an abundant number, since it is smaller than the sum of its proper divisors (9929178).

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

5035590 is a wasteful number, since it uses less digits than its factorization.

5035590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 5035590 is about 2244.0120320533. The cubic root of 5035590 is about 171.4023561103.

It can be divided in two parts, 5035 and 590, that added together give a square (5625 = 752).

The spelling of 5035590 in words is "five million, thirty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 7993 15986 23979 39965 47958 55951 71937 79930 111902 119895 143874 167853 239790 279755 335706 359685 503559 559510 719370 839265 1007118 1678530 2517795 5035590