Search a number
-
+
40274766 = 2337231491
BaseRepresentation
bin1001100110100…
…0101101001110
32210210011121000
42121220231032
540302243031
63555121130
7666221100
oct231505516
983704530
1040274766
1120809034
12115a31a6
13846192c
1454c5570
1538083e6
hex2668b4e

40274766 has 96 divisors (see below), whose sum is σ = 107688960. Its totient is φ = 11113200.

The previous prime is 40274747. The next prime is 40274783. The reversal of 40274766 is 66747204.

40274766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 40274766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81781 + ... + 82271.

It is an arithmetic number, because the mean of its divisors is an integer number (1121760).

Almost surely, 240274766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40274766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844480).

40274766 is an abundant number, since it is smaller than the sum of its proper divisors (67414194).

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

40274766 is a wasteful number, since it uses less digits than its factorization.

40274766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 40274766 is about 6346.2403043062. The cubic root of 40274766 is about 342.7764752184.

The spelling of 40274766 in words is "forty million, two hundred seventy-four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 491 558 651 837 882 982 1302 1323 1473 1519 1674 1953 2646 2946 3038 3437 3906 4419 4557 5859 6874 8838 9114 10311 11718 13257 13671 15221 20622 24059 26514 27342 30442 30933 41013 45663 48118 61866 72177 82026 91326 92799 106547 136989 144354 185598 213094 216531 273978 319641 410967 433062 639282 649593 745829 821934 958923 1299186 1491658 1917846 2237487 2876769 4474974 5753538 6712461 13424922 20137383 40274766