Search a number
-
+
5202792 = 233473137
BaseRepresentation
bin10011110110001101101000
3100210022220000
4103312031220
52312442132
6303303000
762136330
oct23661550
910708800
105202792
112a33a31
1218aaa60
13110219a
149960c0
156cb87c
hex4f6368

5202792 has 160 divisors (see below), whose sum is σ = 17656320. Its totient is φ = 1399680.

The previous prime is 5202787. The next prime is 5202793. The reversal of 5202792 is 2972025.

It is a happy number.

5202792 is nontrivially palindromic in base 5.

5202792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (5202793) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140598 + ... + 140634.

It is an arithmetic number, because the mean of its divisors is an integer number (110352).

Almost surely, 25202792 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 5202792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828160).

5202792 is an abundant number, since it is smaller than the sum of its proper divisors (12453528).

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

5202792 is a wasteful number, since it uses less digits than its factorization.

5202792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5202792 is about 2280.9629545435. The cubic root of 5202792 is about 173.2788224381.

The spelling of 5202792 in words is "five million, two hundred two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 37 42 54 56 62 63 72 74 81 84 93 108 111 124 126 148 162 168 186 189 216 217 222 248 252 259 279 296 324 333 372 378 434 444 504 518 558 567 648 651 666 744 756 777 837 868 888 999 1036 1116 1134 1147 1302 1332 1512 1554 1674 1736 1953 1998 2072 2232 2268 2294 2331 2511 2604 2664 2997 3108 3348 3441 3906 3996 4536 4588 4662 5022 5208 5859 5994 6216 6696 6882 6993 7812 7992 8029 9176 9324 10044 10323 11718 11988 13764 13986 15624 16058 17577 18648 20088 20646 20979 23436 23976 24087 27528 27972 30969 32116 35154 41292 41958 46872 48174 55944 61938 64232 70308 72261 82584 83916 92907 96348 123876 140616 144522 167832 185814 192696 216783 247752 289044 371628 433566 578088 650349 743256 867132 1300698 1734264 2601396 5202792