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52275840 = 2735191433
BaseRepresentation
bin1100011101101…
…0101010000000
310122100212222020
43013122222000
5101340311330
65104241440
71203223461
oct307325200
9118325866
1052275840
1127565681
1215610280
13aaa4266
146d2ad68
1548c9210
hex31daa80

52275840 has 128 divisors (see below), whose sum is σ = 175521600. Its totient is φ = 13197312.

The previous prime is 52275793. The next prime is 52275863. The reversal of 52275840 is 4857225.

It is a tau number, because it is divible by the number of its divisors (128).

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, 35764 + ... + 37196.

Almost surely, 252275840 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 52275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87760800).

52275840 is an abundant number, since it is smaller than the sum of its proper divisors (123245760).

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

52275840 is a wasteful number, since it uses less digits than its factorization.

52275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 52275840 is about 7230.2033166433. The cubic root of 52275840 is about 373.9099366575.

The spelling of 52275840 in words is "fifty-two million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1433 1520 1824 1920 2280 2432 2866 3040 3648 4299 4560 5732 6080 7165 7296 8598 9120 11464 12160 14330 17196 18240 21495 22928 27227 28660 34392 36480 42990 45856 54454 57320 68784 81681 85980 91712 108908 114640 136135 137568 163362 171960 183424 217816 229280 272270 275136 326724 343920 408405 435632 458560 544540 550272 653448 687840 816810 871264 917120 1089080 1306896 1375680 1633620 1742528 2178160 2613792 2751360 3267240 3485056 4356320 5227584 6534480 8712640 10455168 13068960 17425280 26137920 52275840