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52024320 = 2103251129
BaseRepresentation
bin1100011001110…
…1010000000000
310121220002221200
43012131100000
5101304234240
65055021200
71201125255
oct306352000
9117802850
1052024320
1127403707
121550a800
13aa1692a
146ca342c
154879930
hex319d400

52024320 has 132 divisors (see below), whose sum is σ = 180422580. Its totient is φ = 13860864.

The previous prime is 52024319. The next prime is 52024333. The reversal of 52024320 is 2342025.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 41370624 = 3264^2 + 6432^2 .

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 = 52024293 and 52024302.

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, 45516 + ... + 46644.

Almost surely, 252024320 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 52024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90211290).

52024320 is an abundant number, since it is smaller than the sum of its proper divisors (128398260).

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

52024320 is a wasteful number, since it uses less digits than its factorization.

52024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52024320 is about 7212.7886424045. The cubic root of 52024320 is about 373.3092955045.

Adding to 52024320 its reverse (2342025), we get a palindrome (54366345).

The spelling of 52024320 in words is "fifty-two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1129 1152 1280 1440 1536 1920 2258 2304 2560 2880 3072 3387 3840 4516 4608 5120 5645 5760 6774 7680 9032 9216 10161 11290 11520 13548 15360 16935 18064 20322 22580 23040 27096 33870 36128 40644 45160 46080 50805 54192 67740 72256 81288 90320 101610 108384 135480 144512 162576 180640 203220 216768 270960 289024 325152 361280 406440 433536 541920 578048 650304 722560 812880 867072 1083840 1156096 1300608 1445120 1625760 1734144 2167680 2601216 2890240 3251520 3468288 4335360 5202432 5780480 6503040 8670720 10404864 13006080 17341440 26012160 52024320