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52445120 = 2657131801
BaseRepresentation
bin1100100000001…
…1111111000000
310122200111011212
43020003333000
5101411220440
65112025252
71204530140
oct310037700
9118614155
1052445120
1127670882
1215692228
13ab33320
146d72920
15490e465
hex3203fc0

52445120 has 112 divisors (see below), whose sum is σ = 153789888. Its totient is φ = 16588800.

The previous prime is 52445101. The next prime is 52445131. The reversal of 52445120 is 2154425.

It is a happy number.

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

It is a super-2 number, since 2×524451202 = 5500981223628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28220 + ... + 30020.

It is an arithmetic number, because the mean of its divisors is an integer number (1373124).

Almost surely, 252445120 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 52445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76894944).

52445120 is an abundant number, since it is smaller than the sum of its proper divisors (101344768).

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

52445120 is a wasteful number, since it uses less digits than its factorization.

52445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 52445120 is about 7241.9003030972. The cubic root of 52445120 is about 374.3131010731.

Adding to 52445120 its reverse (2154425), we get a palindrome (54599545).

The spelling of 52445120 in words is "fifty-two million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1801 1820 2080 2240 2912 3602 3640 4160 5824 7204 7280 9005 12607 14408 14560 18010 23413 25214 28816 29120 36020 46826 50428 57632 63035 72040 93652 100856 115264 117065 126070 144080 163891 187304 201712 234130 252140 288160 327782 374608 403424 468260 504280 576320 655564 749216 806848 819455 936520 1008560 1311128 1498432 1638910 1873040 2017120 2622256 3277820 3746080 4034240 5244512 6555640 7492160 10489024 13111280 26222560 52445120