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52401024 = 2732133499
BaseRepresentation
bin1100011111100…
…1001110000000
310122121020200200
43013321032000
5101403313044
65111045200
71204254444
oct307711600
9118536620
1052401024
1127640735
1215670800
13ab19230
146d60824
154901369
hex31f9380

52401024 has 96 divisors (see below), whose sum is σ = 162435000. Its totient is φ = 16118784.

The previous prime is 52401017. The next prime is 52401043. The reversal of 52401024 is 42010425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52400988 and 52401006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13227 + ... + 16725.

Almost surely, 252401024 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 52401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81217500).

52401024 is an abundant number, since it is smaller than the sum of its proper divisors (110033976).

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

52401024 is a wasteful number, since it uses less digits than its factorization.

52401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52401024 is about 7238.8551581034. The cubic root of 52401024 is about 374.2081638315.

Adding to 52401024 its reverse (42010425), we get a palindrome (94411449).

The spelling of 52401024 in words is "fifty-two million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3499 3744 4992 6998 7488 10497 13996 14976 20994 27992 31491 41988 45487 55984 62982 83976 90974 111968 125964 136461 167952 181948 223936 251928 272922 335904 363896 409383 447872 503856 545844 671808 727792 818766 1007712 1091688 1343616 1455584 1637532 2015424 2183376 2911168 3275064 4030848 4366752 5822336 6550128 8733504 13100256 17467008 26200512 52401024