Search a number
-
+
40899712 = 27726521
BaseRepresentation
bin1001110000000…
…1010010000000
32211221220212011
42130001102000
540432242322
64020342304
71004433100
oct234012200
984856764
1040899712
11210a5617
1211844994
138620219
145609200
1538cd677
hex2701480

40899712 has 48 divisors (see below), whose sum is σ = 94797270. Its totient is φ = 17525760.

The previous prime is 40899701. The next prime is 40899769. The reversal of 40899712 is 21799804.

It can be written as a sum of positive squares in only one way, i.e., 25969216 + 14930496 = 5096^2 + 3864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3012 + ... + 9532.

Almost surely, 240899712 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 40899712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47398635).

40899712 is an abundant number, since it is smaller than the sum of its proper divisors (53897558).

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

40899712 is an equidigital number, since it uses as much as digits as its factorization.

40899712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 40899712 is about 6395.2882655905. The cubic root of 40899712 is about 344.5403442380.

The spelling of 40899712 in words is "forty million, eight hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 6521 13042 26084 45647 52168 91294 104336 182588 208672 319529 365176 417344 639058 730352 834688 1278116 1460704 2556232 2921408 5112464 5842816 10224928 20449856 40899712