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40804080 = 24351773137
BaseRepresentation
bin1001101110100…
…1111011110000
32211210001200020
42123221323300
540421212310
64014323440
71003554222
oct233517360
984701606
1040804080
112103a789
12117b9580
1385b8835
1455c2412
1538b0170
hex26e9ef0

40804080 has 160 divisors (see below), whose sum is σ = 136759104. Its totient is φ = 10027008.

The previous prime is 40804051. The next prime is 40804087. The reversal of 40804080 is 8040804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40804080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40804087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297772 + ... + 297908.

Almost surely, 240804080 is an apocalyptic number.

40804080 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 40804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68379552).

40804080 is an abundant number, since it is smaller than the sum of its proper divisors (95955024).

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

40804080 is a wasteful number, since it uses less digits than its factorization.

40804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40804080 is about 6387.8071354730. The cubic root of 40804080 is about 344.2715991002.

Adding to 40804080 its reverse (8040804), we get a palindrome (48844884).

The spelling of 40804080 in words is "forty million, eight hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 137 146 170 204 219 240 255 272 274 292 340 365 408 411 438 510 548 584 680 685 730 816 822 876 1020 1095 1096 1168 1241 1360 1370 1460 1644 1752 2040 2055 2190 2192 2329 2482 2740 2920 3288 3504 3723 4080 4110 4380 4658 4964 5480 5840 6205 6576 6987 7446 8220 8760 9316 9928 10001 10960 11645 12410 13974 14892 16440 17520 18615 18632 19856 20002 23290 24820 27948 29784 30003 32880 34935 37230 37264 40004 46580 49640 50005 55896 59568 60006 69870 74460 80008 93160 99280 100010 111792 120012 139740 148920 150015 160016 170017 186320 200020 240024 279480 297840 300030 340034 400040 480048 510051 558960 600060 680068 800080 850085 1020102 1200120 1360136 1700170 2040204 2400240 2550255 2720272 3400340 4080408 5100510 6800680 8160816 10201020 13601360 20402040 40804080