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40147488 = 25361721
BaseRepresentation
bin1001100100100…
…1101000100000
32210112201000000
42121021220200
540234204423
63552300000
7665151033
oct231115040
983481000
1040147488
1120731447
1211541600
138418a14
14549101a
1537d0843
hex2649a20

40147488 has 84 divisors (see below), whose sum is σ = 118575198. Its totient is φ = 13374720.

The previous prime is 40147483. The next prime is 40147493. The reversal of 40147488 is 88474104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40147483) and next prime (40147493).

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 9809424 = 5508^2 + 3132^2 .

It is a super-2 number, since 2×401474882 = 3223641585420288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40147483) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22468 + ... + 24188.

Almost surely, 240147488 is an apocalyptic number.

40147488 is a gapful number since it is divisible by the number (48) 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 40147488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59287599).

40147488 is an abundant number, since it is smaller than the sum of its proper divisors (78427710).

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

40147488 is an equidigital number, since it uses as much as digits as its factorization.

40147488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 40147488 is about 6336.2045421530. The cubic root of 40147488 is about 342.4150086588.

The spelling of 40147488 in words is "forty million, one hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1721 1944 2592 2916 3442 3888 5163 5832 6884 7776 10326 11664 13768 15489 20652 23328 27536 30978 41304 46467 55072 61956 82608 92934 123912 139401 165216 185868 247824 278802 371736 418203 495648 557604 743472 836406 1115208 1254609 1486944 1672812 2230416 2509218 3345624 4460832 5018436 6691248 10036872 13382496 20073744 40147488