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45726156 = 22327296257
BaseRepresentation
bin1010111001101…
…1100111001100
310012001010111100
42232123213030
543201214111
64312023100
71063444260
oct256334714
9105033440
1045726156
11238a1813
1213391a90
13961ccc8
1461040a0
154033756
hex2b9b9cc

45726156 has 72 divisors (see below), whose sum is σ = 136674720. Its totient is φ = 12612096.

The previous prime is 45726151. The next prime is 45726169. The reversal of 45726156 is 65162754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45726156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45726151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4180 + ... + 10436.

It is an arithmetic number, because the mean of its divisors is an integer number (1898260).

Almost surely, 245726156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45726156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68337360).

45726156 is an abundant number, since it is smaller than the sum of its proper divisors (90948564).

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

45726156 is a wasteful number, since it uses less digits than its factorization.

45726156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6298 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45726156 is about 6762.1118003180. Note that the first 3 decimals coincide. The cubic root of 45726156 is about 357.5923597905.

The spelling of 45726156 in words is "forty-five million, seven hundred twenty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 6257 7308 12514 18771 25028 37542 43799 56313 75084 87598 112626 131397 175196 181453 225252 262794 362906 394191 525588 544359 725812 788382 1088718 1270171 1576764 1633077 2177436 2540342 3266154 3810513 5080684 6532308 7621026 11431539 15242052 22863078 45726156