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52438848 = 2637113547
BaseRepresentation
bin1100100000001…
…0011101000000
310122200011120120
43020002131000
5101411020343
65111540240
71204502640
oct310023500
9118604516
1052438848
11276670a0
121568a680
13ab30507
146d70520
15490c683
hex3202740

52438848 has 112 divisors (see below), whose sum is σ = 173028864. Its totient is φ = 13616640.

The previous prime is 52438843. The next prime is 52438849. The reversal of 52438848 is 84883425.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52438843) 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, 13011 + ... + 16557.

Almost surely, 252438848 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 52438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86514432).

52438848 is an abundant number, since it is smaller than the sum of its proper divisors (120590016).

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

52438848 is a wasteful number, since it uses less digits than its factorization.

52438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3570 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 52438848 is about 7241.4672546384. The cubic root of 52438848 is about 374.2981789007.

The spelling of 52438848 in words is "fifty-two million, four hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3547 3696 4928 7094 7392 10641 14188 14784 21282 24829 28376 39017 42564 49658 56752 74487 78034 85128 99316 113504 117051 148974 156068 170256 198632 227008 234102 273119 297948 312136 340512 397264 468204 546238 595896 624272 681024 794528 819357 936408 1092476 1191792 1248544 1589056 1638714 1872816 2184952 2383584 2497088 3277428 3745632 4369904 4767168 6554856 7491264 8739808 13109712 17479616 26219424 52438848