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5239400 = 2352172367
BaseRepresentation
bin10011111111001001101000
3100212012002212
4103333021220
52320130100
6304144252
762351135
oct23771150
910765085
105239400
112a59491
121908088
131115a4a
149a558c
156d7635
hex4ff268

5239400 has 96 divisors (see below), whose sum is σ = 13659840. Its totient is φ = 1858560.

The previous prime is 5239397. The next prime is 5239411. The reversal of 5239400 is 49325.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 78167 + ... + 78233.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 25239400 is an apocalyptic number.

5239400 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 5239400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920).

5239400 is an abundant number, since it is smaller than the sum of its proper divisors (8420440).

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

5239400 is a wasteful number, since it uses less digits than its factorization.

5239400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5239400 is about 2288.9735690916. The cubic root of 5239400 is about 173.6842823772.

The spelling of 5239400 in words is "five million, two hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 67 68 85 92 100 115 134 136 170 184 200 230 268 335 340 391 425 460 536 575 670 680 782 850 920 1139 1150 1340 1541 1564 1675 1700 1955 2278 2300 2680 3082 3128 3350 3400 3910 4556 4600 5695 6164 6700 7705 7820 9112 9775 11390 12328 13400 15410 15640 19550 22780 26197 28475 30820 38525 39100 45560 52394 56950 61640 77050 78200 104788 113900 130985 154100 209576 227800 261970 308200 523940 654925 1047880 1309850 2619700 5239400