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40950 = 23252713
BaseRepresentation
bin1001111111110110
32002011200
421333312
52302300
6513330
7230250
oct117766
962150
1040950
1128848
121b846
1315840
1410cd0
15c200
hex9ff6

40950 has 72 divisors (see below), whose sum is σ = 135408. Its totient is φ = 8640.

The previous prime is 40949. The next prime is 40961. The reversal of 40950 is 5904.

40950 = 502 + 512 + ... + 622.

40950 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3144 + ... + 3156.

240950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

40950 is an abundant number, since it is smaller than the sum of its proper divisors (94458).

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

40950 is a wasteful number, since it uses less digits than its factorization.

40950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 40950 is about 202.3610634485. The cubic root of 40950 is about 34.4681495587.

It can be divided in two parts, 40 and 950, that added together give a triangular number (990 = T44).

The spelling of 40950 in words is "forty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2730 2925 3150 4095 4550 5850 6825 8190 13650 20475 40950