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46223856 = 2432726551
BaseRepresentation
bin1011000001010…
…1000111110000
310012222102012200
42300111013300
543313130411
64330423200
71100616300
oct260250760
9105872180
1046223856
1124101738
1213591b00
1397656c3
1461d3600
1540d0e56
hex2c151f0

46223856 has 90 divisors (see below), whose sum is σ = 150505992. Its totient is φ = 13204800.

The previous prime is 46223831. The next prime is 46223857. The reversal of 46223856 is 65832264.

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 46223856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46223857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3781 + ... + 10331.

Almost surely, 246223856 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 46223856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252996).

46223856 is an abundant number, since it is smaller than the sum of its proper divisors (104282136).

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

46223856 is a wasteful number, since it uses less digits than its factorization.

46223856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6563 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 46223856 is about 6798.8128375474. The cubic root of 46223856 is about 358.8850691085.

The spelling of 46223856 in words is "forty-six million, two hundred twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 6551 7056 13102 19653 26204 39306 45857 52408 58959 78612 91714 104816 117918 137571 157224 183428 235836 275142 314448 320999 366856 412713 471672 550284 641998 733712 825426 943344 962997 1100568 1283996 1650852 1925994 2201136 2567992 2888991 3301704 3851988 5135984 5777982 6603408 7703976 11555964 15407952 23111928 46223856