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52232320 = 275789131
BaseRepresentation
bin1100011101000…
…0000010000000
310122021200021101
43013100002000
5101332413240
65103304144
71202652550
oct307200200
9118250241
1052232320
1127535a08
12155ab054
13aa8a4ca
146d19160
1548bb39a
hex31d0080

52232320 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 17571840.

The previous prime is 52232317. The next prime is 52232339. The reversal of 52232320 is 2323225.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398655 + ... + 398785.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 252232320 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 52232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

52232320 is an abundant number, since it is smaller than the sum of its proper divisors (93178880).

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

52232320 is a wasteful number, since it uses less digits than its factorization.

52232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 52232320 is about 7227.1930927574. The cubic root of 52232320 is about 373.8061469770.

Adding to 52232320 its reverse (2323225), we get a palindrome (54555545).

The spelling of 52232320 in words is "fifty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 128 131 140 160 178 224 262 280 320 356 445 448 524 560 623 640 655 712 890 896 917 1048 1120 1246 1310 1424 1780 1834 2096 2240 2492 2620 2848 3115 3560 3668 4192 4480 4585 4984 5240 5696 6230 7120 7336 8384 9170 9968 10480 11392 11659 12460 14240 14672 16768 18340 19936 20960 23318 24920 28480 29344 36680 39872 41920 46636 49840 56960 58295 58688 73360 79744 81613 83840 93272 99680 116590 117376 146720 163226 186544 199360 233180 293440 326452 373088 398720 408065 466360 586880 652904 746176 816130 932720 1305808 1492352 1632260 1865440 2611616 3264520 3730880 5223232 6529040 7461760 10446464 13058080 26116160 52232320