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40994800 = 24527114
BaseRepresentation
bin1001110001100…
…0011111110000
32212010202021221
42130120133300
540443313200
64022354424
71005310240
oct234303760
985122257
1040994800
1121160000
121188ba14
1386545a2
145631b20
1538eb91a
hex27187f0

40994800 has 150 divisors (see below), whose sum is σ = 123815240. Its totient is φ = 12777600.

The previous prime is 40994797. The next prime is 40994801. The reversal of 40994800 is 849904.

40994800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40994801) 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 29 ways as a sum of consecutive naturals, for example, 3726795 + ... + 3726805.

Almost surely, 240994800 is an apocalyptic number.

40994800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61907620).

40994800 is an abundant number, since it is smaller than the sum of its proper divisors (82820440).

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

40994800 is an equidigital number, since it uses as much as digits as its factorization.

40994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 40994800 is about 6402.7181727763. The cubic root of 40994800 is about 344.8071455929.

Subtracting from 40994800 its reverse (849904), we obtain a square (40144896 = 63362).

The spelling of 40994800 in words is "forty million, nine hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 121 140 154 175 176 200 220 242 275 280 308 350 385 400 440 484 550 560 605 616 700 770 847 880 968 1100 1210 1232 1331 1400 1540 1694 1925 1936 2200 2420 2662 2800 3025 3080 3388 3850 4235 4400 4840 5324 6050 6160 6655 6776 7700 8470 9317 9680 10648 12100 13310 13552 14641 15400 16940 18634 21175 21296 24200 26620 29282 30800 33275 33880 37268 42350 46585 48400 53240 58564 66550 67760 73205 74536 84700 93170 102487 106480 117128 133100 146410 149072 169400 186340 204974 232925 234256 266200 292820 338800 366025 372680 409948 465850 512435 532400 585640 732050 745360 819896 931700 1024870 1171280 1464100 1639792 1863400 2049740 2562175 2928200 3726800 4099480 5124350 5856400 8198960 10248700 20497400 40994800