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54052300 = 22522371331
BaseRepresentation
bin1100111000110…
…0010111001100
310202201010211001
43032030113030
5102314133200
65210310044
71224302611
oct316142714
9122633731
1054052300
1128569325
1216128324
13b276a13
147270508
154b2a76a
hex338c5cc

54052300 has 72 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 20328000.

The previous prime is 54052291. The next prime is 54052331. The reversal of 54052300 is 325045.

It is a happy number.

54052300 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 2×540523002 = 5843302270580000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 163135 + ... + 163465.

It is an arithmetic number, because the mean of its divisors is an integer number (1729056).

Almost surely, 254052300 is an apocalyptic number.

54052300 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 54052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

54052300 is an abundant number, since it is smaller than the sum of its proper divisors (70439732).

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

54052300 is a wasteful number, since it uses less digits than its factorization.

54052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 54052300 is about 7352.0269313979. The cubic root of 54052300 is about 378.0983012818.

Adding to 54052300 its reverse (325045), we get a palindrome (54377345).

The spelling of 54052300 in words is "fifty-four million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 331 355 460 575 662 710 1150 1324 1420 1633 1655 1775 2300 3266 3310 3550 6532 6620 7100 7613 8165 8275 15226 16330 16550 23501 30452 32660 33100 38065 40825 47002 76130 81650 94004 117505 152260 163300 190325 235010 380650 470020 540523 587525 761300 1081046 1175050 2162092 2350100 2702615 5405230 10810460 13513075 27026150 54052300