Search a number
-
+
40546224 = 2433175521
BaseRepresentation
bin1001101010101…
…0111110110000
32211021221222000
42122222332300
540334434344
64005014000
71001431365
oct232527660
984257860
1040546224
1120983a84
12116b4300
138528364
14555646c
15385da69
hex26aafb0

40546224 has 80 divisors (see below), whose sum is σ = 123251040. Its totient is φ = 12718080.

The previous prime is 40546213. The next prime is 40546229. The reversal of 40546224 is 42264504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40546229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 10104.

It is an arithmetic number, because the mean of its divisors is an integer number (1540638).

Almost surely, 240546224 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 40546224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61625520).

40546224 is an abundant number, since it is smaller than the sum of its proper divisors (82704816).

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

40546224 is a wasteful number, since it uses less digits than its factorization.

40546224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40546224 is about 6367.5916954528. The cubic root of 40546224 is about 343.5448731446.

The spelling of 40546224 in words is "forty million, five hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 5521 7344 11042 16563 22084 33126 44168 49689 66252 88336 93857 99378 132504 149067 187714 198756 265008 281571 298134 375428 397512 563142 596268 750856 795024 844713 1126284 1192536 1501712 1689426 2252568 2385072 2534139 3378852 4505136 5068278 6757704 10136556 13515408 20273112 40546224