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40753728 = 263270753
BaseRepresentation
bin1001101101110…
…1101001000000
32211200111121100
42123131221000
540413104403
64013254400
71003254351
oct233355100
984614540
1040753728
1121005974
1211794400
13859b942
1455abd28
1538a02a3
hex26dda40

40753728 has 42 divisors (see below), whose sum is σ = 116814854. Its totient is φ = 13584384.

The previous prime is 40753721. The next prime is 40753753. The reversal of 40753728 is 82735704.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 10810944 = 5472^2 + 3288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40753692 and 40753701.

It is not an unprimeable number, because it can be changed into a prime (40753721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34801 + ... + 35952.

Almost surely, 240753728 is an apocalyptic number.

40753728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40753728 is an abundant number, since it is smaller than the sum of its proper divisors (76061126).

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

40753728 is a wasteful number, since it uses less digits than its factorization.

40753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70771 (or 70758 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40753728 is about 6383.8646602195. The cubic root of 40753728 is about 344.1299310874.

The spelling of 40753728 in words is "forty million, seven hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 70753 141506 212259 283012 424518 566024 636777 849036 1132048 1273554 1698072 2264096 2547108 3396144 4528192 5094216 6792288 10188432 13584576 20376864 40753728