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52189032 = 23372411289
BaseRepresentation
bin1100011100010…
…1011101101000
310122012110220010
43013011131220
5101330022112
65102331520
71202412420
oct307053550
9118173803
1052189032
1127506435
1215589ba0
13aa738ac
146d07480
1548ad63c
hex31c5768

52189032 has 64 divisors (see below), whose sum is σ = 149846400. Its totient is φ = 14837760.

The previous prime is 52189021. The next prime is 52189051. The reversal of 52189032 is 23098125.

It is a happy number.

52189032 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-2 number, since 2×521890322 = 5447390122194048, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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, 39844 + ... + 41132.

It is an arithmetic number, because the mean of its divisors is an integer number (2341350).

Almost surely, 252189032 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 52189032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74923200).

52189032 is an abundant number, since it is smaller than the sum of its proper divisors (97657368).

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

52189032 is a wasteful number, since it uses less digits than its factorization.

52189032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 52189032 is about 7224.1976717141. The cubic root of 52189032 is about 373.7028533797.

The spelling of 52189032 in words is "fifty-two million, one hundred eighty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1289 1446 1687 1928 2578 2892 3374 3867 5061 5156 5784 6748 7734 9023 10122 10312 13496 15468 18046 20244 27069 30936 36092 40488 54138 72184 108276 216552 310649 621298 931947 1242596 1863894 2174543 2485192 3727788 4349086 6523629 7455576 8698172 13047258 17396344 26094516 52189032