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5126352 = 2437111973
BaseRepresentation
bin10011100011100011010000
3100122110000220
4103203203100
52303020402
6301513040
761400430
oct23434320
910573026
105126352
112991560
121872780
1310a645a
149762c0
156b3dbc
hex4e38d0

5126352 has 160 divisors (see below), whose sum is σ = 17617920. Its totient is φ = 1244160.

The previous prime is 5126351. The next prime is 5126357. The reversal of 5126352 is 2536215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70188 + ... + 70260.

It is an arithmetic number, because the mean of its divisors is an integer number (110112).

Almost surely, 25126352 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 5126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808960).

5126352 is an abundant number, since it is smaller than the sum of its proper divisors (12491568).

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

5126352 is a wasteful number, since it uses less digits than its factorization.

5126352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 5126352 is about 2264.1448716900. The cubic root of 5126352 is about 172.4260216283.

It can be divided in two parts, 51263 and 52, that added together give a palindrome (51315).

The spelling of 5126352 in words is "five million, one hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 73 76 77 84 88 112 114 132 133 146 152 154 168 176 209 219 228 231 264 266 292 304 308 336 399 418 438 456 462 511 528 532 584 616 627 798 803 836 876 912 924 1022 1064 1168 1232 1254 1387 1463 1533 1596 1606 1672 1752 1848 2044 2128 2409 2508 2774 2926 3066 3192 3212 3344 3504 3696 4088 4161 4389 4818 5016 5548 5621 5852 6132 6384 6424 8176 8322 8778 9636 9709 10032 11096 11242 11704 12264 12848 15257 16644 16863 17556 19272 19418 22192 22484 23408 24528 29127 30514 33288 33726 35112 38544 38836 44968 45771 58254 61028 66576 67452 70224 77672 89936 91542 106799 116508 122056 134904 155344 183084 213598 233016 244112 269808 320397 366168 427196 466032 640794 732336 854392 1281588 1708784 2563176 5126352