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5156406 = 2331741137
BaseRepresentation
bin10011101010111000110110
3100200222021000
4103222320312
52310001111
6302304130
761554153
oct23527066
910628230
105156406
112a020a2
121888046
1310b7038
1498322a
156bcc56
hex4eae36

5156406 has 64 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1566720.

The previous prime is 5156399. The next prime is 5156413. The reversal of 5156406 is 6046515.

5156406 = T203 + T204 + ... + T339.

It is a happy number.

5156406 is a `hidden beast` number, since 5 + 15 + 640 + 6 = 666.

5156406 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (5156399) and next prime (5156413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5156406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37570 + ... + 37706.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 25156406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

5156406 is an abundant number, since it is smaller than the sum of its proper divisors (7362954).

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

5156406 is a wasteful number, since it uses less digits than its factorization.

5156406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5156406 is about 2270.7721153828. The cubic root of 5156406 is about 172.7623229970.

The spelling of 5156406 in words is "five million, one hundred fifty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 137 153 246 274 306 369 411 459 697 738 822 918 1107 1233 1394 2091 2214 2329 2466 3699 4182 4658 5617 6273 6987 7398 11234 12546 13974 16851 18819 20961 33702 37638 41922 50553 62883 95489 101106 125766 151659 190978 286467 303318 572934 859401 1718802 2578203 5156406