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40250400 = 2535231541
BaseRepresentation
bin1001100110001…
…0110000100000
32210201221011120
42121202300200
540301003100
63554412240
7666060051
oct231426040
983657146
1040250400
11207a17a3
1211591080
138453808
1454ba728
1538010a0
hex2662c20

40250400 has 144 divisors (see below), whose sum is σ = 135491328. Its totient is φ = 10368000.

The previous prime is 40250389. The next prime is 40250401. The reversal of 40250400 is 405204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40250400.

It is not an unprimeable number, because it can be changed into a prime (40250401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74130 + ... + 74670.

It is an arithmetic number, because the mean of its divisors is an integer number (940912).

Almost surely, 240250400 is an apocalyptic number.

40250400 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 40250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67745664).

40250400 is an abundant number, since it is smaller than the sum of its proper divisors (95240928).

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

40250400 is a wasteful number, since it uses less digits than its factorization.

40250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40250400 is about 6344.3202945627. The cubic root of 40250400 is about 342.7073353465.

Adding to 40250400 its reverse (405204), we get a palindrome (40655604).

The spelling of 40250400 in words is "forty million, two hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 75 80 93 96 100 120 124 150 155 160 186 200 240 248 300 310 372 400 465 480 496 541 600 620 744 775 800 930 992 1082 1200 1240 1488 1550 1623 1860 2164 2325 2400 2480 2705 2976 3100 3246 3720 4328 4650 4960 5410 6200 6492 7440 8115 8656 9300 10820 12400 12984 13525 14880 16230 16771 17312 18600 21640 24800 25968 27050 32460 33542 37200 40575 43280 50313 51936 54100 64920 67084 74400 81150 83855 86560 100626 108200 129840 134168 162300 167710 201252 216400 251565 259680 268336 324600 335420 402504 419275 432800 503130 536672 649200 670840 805008 838550 1006260 1257825 1298400 1341680 1610016 1677100 2012520 2515650 2683360 3354200 4025040 5031300 6708400 8050080 10062600 13416800 20125200 40250400