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52438320 = 24335112207
BaseRepresentation
bin1100100000001…
…0010100110000
310122200010212000
43020002110300
5101411011240
65111534000
71204501254
oct310022460
9118603760
1052438320
1127666760
121568a300
13ab301bc
146d70264
15490c430
hex3202530

52438320 has 160 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 12706560.

The previous prime is 52438313. The next prime is 52438327. The reversal of 52438320 is 2383425.

It is an interprime number because it is at equal distance from previous prime (52438313) and next prime (52438327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52438327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22657 + ... + 24863.

It is an arithmetic number, because the mean of its divisors is an integer number (1232064).

Almost surely, 252438320 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 52438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

52438320 is an abundant number, since it is smaller than the sum of its proper divisors (144691920).

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

52438320 is a wasteful number, since it uses less digits than its factorization.

52438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52438320 is about 7241.4307978465. The cubic root of 52438320 is about 374.2969226431.

The spelling of 52438320 in words is "fifty-two million, four hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2207 2376 2640 2970 3960 4414 4752 5940 6621 7920 8828 11035 11880 13242 17656 19863 22070 23760 24277 26484 33105 35312 39726 44140 48554 52968 59589 66210 72831 79452 88280 97108 99315 105936 119178 121385 132420 145662 158904 176560 194216 198630 218493 238356 242770 264840 291324 297945 317808 364155 388432 397260 436986 476712 485540 529680 582648 595890 655479 728310 794520 873972 953424 971080 1092465 1165296 1191780 1310958 1456620 1589040 1747944 1942160 2184930 2383560 2621916 2913240 3277395 3495888 4369860 4767120 5243832 5826480 6554790 8739720 10487664 13109580 17479440 26219160 52438320