Search a number
-
+
40054350 = 23527371031
BaseRepresentation
bin1001100011001…
…0111001001110
32210100222020110
42120302321032
540223214400
63550300450
7664312350
oct230627116
983328213
1040054350
1120678476
12114b7726
1383b54cb
1454690d0
1537b2e50
hex2632e4e

40054350 has 96 divisors (see below), whose sum is σ = 116706816. Its totient is φ = 8899200.

The previous prime is 40054349. The next prime is 40054351. The reversal of 40054350 is 5345004.

It is a happy number.

40054350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40054349) and next prime (40054351).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40054351) by changing a digit.

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, 38335 + ... + 39365.

It is an arithmetic number, because the mean of its divisors is an integer number (1215696).

Almost surely, 240054350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40054350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58353408).

40054350 is an abundant number, since it is smaller than the sum of its proper divisors (76652466).

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

40054350 is a wasteful number, since it uses less digits than its factorization.

40054350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 40054350 is about 6328.8506065478. The cubic root of 40054350 is about 342.1500145547.

Adding to 40054350 its reverse (5345004), we get a palindrome (45399354).

It can be divided in two parts, 40054 and 350, that added together give a palindrome (40404).

The spelling of 40054350 in words is "forty million, fifty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1031 1050 1110 1295 1554 1850 2062 2590 2775 3093 3885 5155 5550 6186 6475 7217 7770 10310 12950 14434 15465 19425 21651 25775 30930 36085 38147 38850 43302 51550 72170 76294 77325 108255 114441 154650 180425 190735 216510 228882 267029 360850 381470 534058 541275 572205 801087 953675 1082550 1144410 1335145 1602174 1907350 2670290 2861025 4005435 5722050 6675725 8010870 13351450 20027175 40054350