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5332503400 = 235272544133
BaseRepresentation
bin1001111011101011…
…11000101101101000
3111202122001020110221
410331311320231220
541410110102100
62241050015424
7246100350100
oct47565705550
914678036427
105332503400
112297071804
121049a17574
1366c9c9c73
143882d6200
1521323601a
hex13dd78b68

5332503400 has 72 divisors (see below), whose sum is σ = 14422271670. Its totient is φ = 1828283520.

The previous prime is 5332503377. The next prime is 5332503403. The reversal of 5332503400 is 43052335.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3810099076 + 1522404324 = 61726^2 + 39018^2 .

It is a super-2 number, since 2×53325034002 = 56871185022023120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5332503403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 262267 + ... + 281866.

Almost surely, 25332503400 is an apocalyptic number.

5332503400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5332503400 is an abundant number, since it is smaller than the sum of its proper divisors (9089768270).

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

5332503400 is a wasteful number, since it uses less digits than its factorization.

5332503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544163 (or 544147 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 5332503400 is about 73023.9919478523. The cubic root of 5332503400 is about 1747.0702980779.

Adding to 5332503400 its reverse (43052335), we get a palindrome (5375555735).

The spelling of 5332503400 in words is "five billion, three hundred thirty-two million, five hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 544133 1088266 2176532 2720665 3808931 4353064 5441330 7617862 10882660 13603325 15235724 19044655 21765320 26662517 27206650 30471448 38089310 53325034 54413300 76178620 95223275 106650068 108826600 133312585 152357240 190446550 213300136 266625170 380893100 533250340 666562925 761786200 1066500680 1333125850 2666251700 5332503400