Search a number
-
+
54002421 = 32112172917
BaseRepresentation
bin1100111000000…
…0001011110101
310202121121101200
43032000023311
5102311034141
65205243113
71224004314
oct316001365
9122547350
1054002421
1128534900
1216103499
13b25a0c5
14725a27b
154b1aab6
hex33802f5

54002421 has 36 divisors (see below), whose sum is σ = 90813996. Its totient is φ = 30792960.

The previous prime is 54002419. The next prime is 54002423. The reversal of 54002421 is 12420045.

It is an interprime number because it is at equal distance from previous prime (54002419) and next prime (54002423).

It can be written as a sum of positive squares in 2 ways, for example, as 50339025 + 3663396 = 7095^2 + 1914^2 .

It is not a de Polignac number, because 54002421 - 21 = 54002419 is a prime.

It is a super-2 number, since 2×540024212 = 5832522947722482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54002394 and 54002403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54002423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17055 + ... + 19971.

It is an arithmetic number, because the mean of its divisors is an integer number (2522611).

Almost surely, 254002421 is an apocalyptic number.

54002421 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54002421 is a deficient number, since it is larger than the sum of its proper divisors (36811575).

54002421 is a wasteful number, since it uses less digits than its factorization.

54002421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54002421 is about 7348.6339546884. The cubic root of 54002421 is about 377.9819635301.

Adding to 54002421 its reverse (12420045), we get a palindrome (66422466).

It can be divided in two parts, 540024 and 21, that added together give a palindrome (540045).

The spelling of 54002421 in words is "fifty-four million, two thousand, four hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 2917 6171 8751 18513 26253 32087 49589 96261 148767 288783 352957 446301 545479 1058871 1636437 3176613 4909311 6000269 18000807 54002421