Search a number
-
+
52448704 = 2671129367
BaseRepresentation
bin1100100000010…
…0110111000000
310122200200002121
43020010313000
5101411324304
65112054024
71204543450
oct310046700
9118620077
1052448704
1127673540
1215694314
13ab34b49
146d73d60
154910554
hex3204dc0

52448704 has 112 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 19676160.

The previous prime is 52448701. The next prime is 52448707. The reversal of 52448704 is 40784425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52448701) and next prime (52448707).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 52448704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52448701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142729 + ... + 143095.

Almost surely, 252448704 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 52448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

52448704 is an abundant number, since it is smaller than the sum of its proper divisors (82150976).

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

52448704 is a wasteful number, since it uses less digits than its factorization.

52448704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 52448704 is about 7242.1477477334. The cubic root of 52448704 is about 374.3216274946.

The spelling of 52448704 in words is "fifty-two million, four hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 367 406 448 464 616 638 704 734 812 928 1232 1276 1468 1624 1856 2233 2464 2552 2569 2936 3248 4037 4466 4928 5104 5138 5872 6496 8074 8932 10208 10276 10643 11744 12992 16148 17864 20416 20552 21286 23488 28259 32296 35728 41104 42572 56518 64592 71456 74501 82208 85144 113036 117073 129184 142912 149002 164416 170288 226072 234146 258368 298004 340576 452144 468292 596008 681152 819511 904288 936584 1192016 1639022 1808576 1873168 2384032 3278044 3746336 4768064 6556088 7492672 13112176 26224352 52448704