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40940480 = 26573373
BaseRepresentation
bin1001110000101…
…1001111000000
32212000222210002
42130023033000
540440043410
64021255132
71004663000
oct234131700
985028702
1040940480
1121123209
12118644a8
138635949
14561a000
1538da7a5
hex270b3c0

40940480 has 112 divisors (see below), whose sum is σ = 113995200. Its totient is φ = 13999104.

The previous prime is 40940443. The next prime is 40940519. The reversal of 40940480 is 8404904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×409404802 = 3352245805260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109574 + ... + 109946.

Almost surely, 240940480 is an apocalyptic number.

40940480 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 40940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56997600).

40940480 is an abundant number, since it is smaller than the sum of its proper divisors (73054720).

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

40940480 is an equidigital number, since it uses as much as digits as its factorization.

40940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 40940480 is about 6398.4748182672. The cubic root of 40940480 is about 344.6547831558.

The spelling of 40940480 in words is "forty million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 373 392 448 490 560 686 746 784 980 1120 1372 1492 1568 1715 1865 1960 2240 2611 2744 2984 3136 3430 3730 3920 5222 5488 5968 6860 7460 7840 10444 10976 11936 13055 13720 14920 15680 18277 20888 21952 23872 26110 27440 29840 36554 41776 52220 54880 59680 73108 83552 91385 104440 109760 119360 127939 146216 167104 182770 208880 255878 292432 365540 417760 511756 584864 639695 731080 835520 1023512 1169728 1279390 1462160 2047024 2558780 2924320 4094048 5117560 5848640 8188096 10235120 20470240 40940480