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52370032 = 24111347487
BaseRepresentation
bin1100011111000…
…1101001110000
310122112200011211
43013301221300
5101401320112
65110245504
71204065211
oct307615160
9118480154
1052370032
112761a420
1215656894
13ab080b0
146d53408
1548e70a7
hex31f1a70

52370032 has 80 divisors (see below), whose sum is σ = 121992192. Its totient is φ = 21461760.

The previous prime is 52369987. The next prime is 52370063. The reversal of 52370032 is 23007325.

It is a happy number.

52370032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×523700323 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 52369985 and 52370012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107293 + ... + 107779.

Almost surely, 252370032 is an apocalyptic number.

52370032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52370032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60996096).

52370032 is an abundant number, since it is smaller than the sum of its proper divisors (69622160).

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

52370032 is a wasteful number, since it uses less digits than its factorization.

52370032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 52370032 is about 7236.7141715008. The cubic root of 52370032 is about 374.1343755370.

Adding to 52370032 its reverse (23007325), we get a palindrome (75377357).

The spelling of 52370032 in words is "fifty-two million, three hundred seventy thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 176 188 208 286 376 487 517 572 611 752 974 1034 1144 1222 1948 2068 2288 2444 3896 4136 4888 5357 6331 6721 7792 8272 9776 10714 12662 13442 21428 22889 25324 26884 42856 45778 50648 53768 69641 85712 91556 101296 107536 139282 183112 251779 278564 297557 366224 503558 557128 595114 1007116 1114256 1190228 2014232 2380456 3273127 4028464 4760912 6546254 13092508 26185016 52370032