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5269600 = 25527941
BaseRepresentation
bin10100000110100001100000
3100220201112101
4110012201200
52322111400
6304540144
762535160
oct24064140
910821471
105269600
112a7a146
121921654
13112670b
149b25a0
156e156a
hex506860

5269600 has 72 divisors (see below), whose sum is σ = 14717808. Its totient is φ = 1804800.

The previous prime is 5269573. The next prime is 5269603. The reversal of 5269600 is 69625.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5269603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5130 + ... + 6070.

It is an arithmetic number, because the mean of its divisors is an integer number (204414).

Almost surely, 25269600 is an apocalyptic number.

5269600 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 5269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358904).

5269600 is an abundant number, since it is smaller than the sum of its proper divisors (9448208).

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

5269600 is a wasteful number, since it uses less digits than its factorization.

5269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 5269600 is about 2295.5609336282. The cubic root of 5269600 is about 174.0173497475.

The spelling of 5269600 in words is "five million, two hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 941 1120 1400 1882 2800 3764 4705 5600 6587 7528 9410 13174 15056 18820 23525 26348 30112 32935 37640 47050 52696 65870 75280 94100 105392 131740 150560 164675 188200 210784 263480 329350 376400 526960 658700 752800 1053920 1317400 2634800 5269600