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52384500 = 22325371663
BaseRepresentation
bin1100011111010…
…1001011110100
310122120102000200
43013311023310
5101402301000
65110440500
71204155330
oct307651364
9118512020
1052384500
112762a283
1215663130
13ab1185c
146d587c0
1548eb500
hex31f52f4

52384500 has 144 divisors (see below), whose sum is σ = 188977152. Its totient is φ = 11966400.

The previous prime is 52384487. The next prime is 52384517. The reversal of 52384500 is 548325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30669 + ... + 32331.

Almost surely, 252384500 is an apocalyptic number.

52384500 is a gapful number since it is divisible by the number (50) 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 52384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94488576).

52384500 is an abundant number, since it is smaller than the sum of its proper divisors (136592652).

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

52384500 is a wasteful number, since it uses less digits than its factorization.

52384500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52384500 is about 7237.7137274142. The cubic root of 52384500 is about 374.1688257595.

The spelling of 52384500 in words is "fifty-two million, three hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1663 1750 2100 2250 2625 3150 3326 3500 4500 4989 5250 6300 6652 7875 8315 9978 10500 11641 14967 15750 16630 19956 23282 24945 29934 31500 33260 34923 41575 46564 49890 58205 59868 69846 74835 83150 99780 104769 116410 124725 139692 149670 166300 174615 207875 209538 232820 249450 291025 299340 349230 374175 415750 419076 498900 523845 582050 623625 698460 748350 831500 873075 1047690 1164100 1247250 1455125 1496700 1746150 1870875 2095380 2494500 2619225 2910250 3492300 3741750 4365375 5238450 5820500 7483500 8730750 10476900 13096125 17461500 26192250 52384500