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40086480 = 24357107223
BaseRepresentation
bin1001100011101…
…0101111010000
32210102121022110
42120322233100
540230231410
63551105320
7664505130
oct230725720
983377273
1040086480
112069a625
1211512240
1383c7015
145476ac0
1537bc720
hex263abd0

40086480 has 160 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 9036288.

The previous prime is 40086463. The next prime is 40086491. The reversal of 40086480 is 8468004.

40086480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 179649 + ... + 179871.

Almost surely, 240086480 is an apocalyptic number.

40086480 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 40086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

40086480 is an abundant number, since it is smaller than the sum of its proper divisors (103904304).

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

40086480 is a wasteful number, since it uses less digits than its factorization.

40086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40086480 is about 6331.3884733129. The cubic root of 40086480 is about 342.2414764627.

The spelling of 40086480 in words is "forty million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 107 112 120 140 168 210 214 223 240 280 321 336 420 428 446 535 560 642 669 749 840 856 892 1070 1115 1284 1338 1498 1561 1605 1680 1712 1784 2140 2230 2247 2568 2676 2996 3122 3210 3345 3568 3745 4280 4460 4494 4683 5136 5352 5992 6244 6420 6690 7490 7805 8560 8920 8988 9366 10704 11235 11984 12488 12840 13380 14980 15610 17840 17976 18732 22470 23415 23861 24976 25680 26760 29960 31220 35952 37464 44940 46830 47722 53520 59920 62440 71583 74928 89880 93660 95444 119305 124880 143166 167027 179760 187320 190888 238610 286332 334054 357915 374640 381776 477220 501081 572664 668108 715830 835135 954440 1002162 1145328 1336216 1431660 1670270 1908880 2004324 2505405 2672432 2863320 3340540 4008648 5010810 5726640 6681080 8017296 10021620 13362160 20043240 40086480