Search a number
-
+
5036724 = 22327112379
BaseRepresentation
bin10011001101101010110100
3100110220002100
4103031222310
52242133344
6255542100
760545220
oct23155264
910426070
105036724
112930190
12182a930
131074714
14951780
15697569
hex4cdab4

5036724 has 144 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1235520.

The previous prime is 5036723. The next prime is 5036741. The reversal of 5036724 is 4276305.

It is a happy number.

5036724 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5036723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63717 + ... + 63795.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 25036724 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 5036724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5036724 is an abundant number, since it is smaller than the sum of its proper divisors (11736396).

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

5036724 is a wasteful number, since it uses less digits than its factorization.

5036724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5036724 is about 2244.2646902716. The cubic root of 5036724 is about 171.4152215795.

It can be divided in two parts, 503 and 6724, that added together give a palindrome (7227).

The spelling of 5036724 in words is "five million, thirty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 79 84 92 99 126 132 138 154 158 161 198 207 231 237 252 253 276 308 316 322 396 414 462 474 483 506 553 644 693 711 759 828 869 924 948 966 1012 1106 1386 1422 1449 1518 1659 1738 1771 1817 1932 2212 2277 2607 2772 2844 2898 3036 3318 3476 3542 3634 4554 4977 5214 5313 5451 5796 6083 6636 7084 7268 7821 9108 9954 10428 10626 10902 12166 12719 15642 15939 16353 18249 19908 19987 21252 21804 24332 25438 31284 31878 32706 36498 38157 39974 50876 54747 59961 63756 65412 72996 76314 79948 109494 114471 119922 139909 152628 179883 218988 228942 239844 279818 359766 419727 457884 559636 719532 839454 1259181 1678908 2518362 5036724