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40245300 = 22325297461
BaseRepresentation
bin1001100110000…
…1100000110100
32210201200011200
42121201200310
540300322200
63554332500
7666036144
oct231414064
983650150
1040245300
1120798987
121158a130
1384513b4
1454b8924
1537ee800
hex2661834

40245300 has 108 divisors (see below), whose sum is σ = 127723596. Its totient is φ = 10598400.

The previous prime is 40245281. The next prime is 40245311. The reversal of 40245300 is 354204.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2643876 + 37601424 = 1626^2 + 6132^2 .

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

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, 87070 + ... + 87530.

Almost surely, 240245300 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 40245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63861798).

40245300 is an abundant number, since it is smaller than the sum of its proper divisors (87478296).

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

40245300 is a wasteful number, since it uses less digits than its factorization.

40245300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40245300 is about 6343.9183475199. The cubic root of 40245300 is about 342.6928602834.

Adding to 40245300 its reverse (354204), we get a palindrome (40599504).

The spelling of 40245300 in words is "forty million, two hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 388 450 461 485 582 873 900 922 970 1164 1383 1455 1746 1844 1940 2305 2425 2766 2910 3492 4149 4365 4610 4850 5532 5820 6915 7275 8298 8730 9220 9700 11525 13830 14550 16596 17460 20745 21825 23050 27660 29100 34575 41490 43650 44717 46100 69150 82980 87300 89434 103725 134151 138300 178868 207450 223585 268302 402453 414900 447170 536604 670755 804906 894340 1117925 1341510 1609812 2012265 2235850 2683020 3353775 4024530 4471700 6707550 8049060 10061325 13415100 20122650 40245300