Search a number
-
+
40146656 = 2511176709
BaseRepresentation
bin1001100100100…
…1011011100000
32210112122212012
42121021123200
540234143111
63552252052
7665145434
oct231113340
983478765
1040146656
1120730860
1211541028
138418524
1454909c4
1537d048b
hex26496e0

40146656 has 48 divisors (see below), whose sum is σ = 91309680. Its totient is φ = 17172480.

The previous prime is 40146647. The next prime is 40146683. The reversal of 40146656 is 65664104.

It is a super-2 number, since 2×401466562 = 3223507975964672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2630 + ... + 9338.

It is an arithmetic number, because the mean of its divisors is an integer number (1902285).

Almost surely, 240146656 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 40146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45654840).

40146656 is an abundant number, since it is smaller than the sum of its proper divisors (51163024).

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

40146656 is a wasteful number, since it uses less digits than its factorization.

40146656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 40146656 is about 6336.1388873667. The cubic root of 40146656 is about 342.4126432866.

The spelling of 40146656 in words is "forty million, one hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 6709 13418 26836 53672 73799 107344 114053 147598 214688 228106 295196 456212 590392 912424 1180784 1254583 1824848 2361568 2509166 3649696 5018332 10036664 20073328 40146656