Search a number
-
+
40746546 = 23237193317
BaseRepresentation
bin1001101101101…
…1111000110010
32211200010202100
42123123320302
540412342141
64013201230
71003224411
oct233337062
984603670
1040746546
1121000535
1211790216
1385985a9
1455a9478
15389d0b6
hex26dbe32

40746546 has 48 divisors (see below), whose sum is σ = 91427544. Its totient is φ = 13105152.

The previous prime is 40746533. The next prime is 40746571. The reversal of 40746546 is 64564704.

40746546 is a `hidden beast` number, since 40 + 74 + 6 + 546 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28740321 + 12006225 = 5361^2 + 3465^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40746546.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128380 + ... + 128696.

Almost surely, 240746546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40746546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45713772).

40746546 is an abundant number, since it is smaller than the sum of its proper divisors (50680998).

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

40746546 is a wasteful number, since it uses less digits than its factorization.

40746546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 40746546 is about 6383.3021235094. The cubic root of 40746546 is about 344.1097146436.

The spelling of 40746546 in words is "forty million, seven hundred forty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 193 222 317 333 386 579 634 666 951 1158 1737 1902 2853 3474 5706 7141 11729 14282 21423 23458 35187 42846 61181 64269 70374 105561 122362 128538 183543 211122 367086 550629 1101258 2263697 4527394 6791091 13582182 20373273 40746546