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40771104 = 2531138609
BaseRepresentation
bin1001101110000…
…1111000100000
32211201101102220
42123201320200
540414133404
64013511040
71003356123
oct233417040
984641386
1040771104
1121017a30
12117a2480
1385a681a
1455b43ba
1538a54d9
hex26e1e20

40771104 has 48 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 12354560.

The previous prime is 40771103. The next prime is 40771121. The reversal of 40771104 is 40117704.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (40771103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18249 + ... + 20360.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 240771104 is an apocalyptic number.

40771104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40771104 is an abundant number, since it is smaller than the sum of its proper divisors (75985536).

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

40771104 is a wasteful number, since it uses less digits than its factorization.

40771104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38633 (or 38625 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 40771104 is about 6385.2254462940. The cubic root of 40771104 is about 344.1788325610.

Adding to 40771104 its reverse (40117704), we get a palindrome (80888808).

The spelling of 40771104 in words is "forty million, seven hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 38609 77218 115827 154436 231654 308872 424699 463308 617744 849398 926616 1235488 1274097 1698796 1853232 2548194 3397592 3706464 5096388 6795184 10192776 13590368 20385552 40771104