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5253521400 = 23325216011823
BaseRepresentation
bin1001110010010001…
…00101111111111000
3111120010102112112200
410321020211333320
541224400141100
62225145110200
7244121123631
oct47110457770
914503375480
105253521400
112256526426
121027488360
1365953505a
1437ba16888
1520b333e00
hex139225ff8

5253521400 has 144 divisors (see below), whose sum is σ = 17663780160. Its totient is φ = 1399296000.

The previous prime is 5253521393. The next prime is 5253521411. The reversal of 5253521400 is 41253525.

It is a happy number.

5253521400 is a `hidden beast` number, since 5 + 253 + 5 + 2 + 1 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2880889 + ... + 2882711.

It is an arithmetic number, because the mean of its divisors is an integer number (122665140).

Almost surely, 25253521400 is an apocalyptic number.

5253521400 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 5253521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831890080).

5253521400 is an abundant number, since it is smaller than the sum of its proper divisors (12410258760).

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

5253521400 is a wasteful number, since it uses less digits than its factorization.

5253521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5253521400 is about 72481.1796261623. The cubic root of 5253521400 is about 1738.4018222689.

Adding to 5253521400 its reverse (41253525), we get a palindrome (5294774925).

The spelling of 5253521400 in words is "five billion, two hundred fifty-three million, five hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1601 1800 1823 3202 3646 4803 5469 6404 7292 8005 9115 9606 10938 12808 14409 14584 16010 16407 18230 19212 21876 24015 27345 28818 32020 32814 36460 38424 40025 43752 45575 48030 54690 57636 64040 65628 72045 72920 80050 82035 91150 96060 109380 115272 120075 131256 136725 144090 160100 164070 182300 192120 218760 240150 273450 288180 320200 328140 360225 364600 410175 480300 546900 576360 656280 720450 820350 960600 1093800 1440900 1640700 2881800 2918623 3281400 5837246 8755869 11674492 14593115 17511738 23348984 26267607 29186230 35023476 43779345 52535214 58372460 70046952 72965575 87558690 105070428 116744920 131338035 145931150 175117380 210140856 218896725 262676070 291862300 350234760 437793450 525352140 583724600 656690175 875586900 1050704280 1313380350 1751173800 2626760700 5253521400