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5406219 = 3272132341
BaseRepresentation
bin10100100111111000001011
3101011122221100
4110213320023
52340444334
6311512443
763644400
oct24477013
911148840
105406219
113062855
121988723
131173960
14a0a2a7
1571bc99
hex527e0b

5406219 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 2661120.

The previous prime is 5406217. The next prime is 5406257. The reversal of 5406219 is 9126045.

5406219 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5406219 - 21 = 5406217 is a prime.

It is a super-2 number, since 2×54062192 = 58454407751922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5406192 and 5406201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131839 + ... + 131879.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 25406219 is an apocalyptic number.

5406219 is a deficient number, since it is larger than the sum of its proper divisors (5050773).

5406219 is a wasteful number, since it uses less digits than its factorization.

5406219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5406219 is about 2325.1277384264. The cubic root of 5406219 is about 175.5083883297.

It can be divided in two parts, 5406 and 219, that added together give a square (5625 = 752).

The spelling of 5406219 in words is "five million, four hundred six thousand, two hundred nineteen".

Divisors: 1 3 7 9 13 21 23 39 41 49 63 69 91 117 123 147 161 207 273 287 299 369 441 483 533 637 819 861 897 943 1127 1449 1599 1911 2009 2093 2583 2691 2829 3381 3731 4797 5733 6027 6279 6601 8487 10143 11193 12259 14651 18081 18837 19803 26117 33579 36777 43953 46207 59409 78351 85813 110331 131859 138621 235053 257439 415863 600691 772317 1802073 5406219