Search a number
-
+
40754032 = 24111753257
BaseRepresentation
bin1001101101110…
…1101101110000
32211200112000121
42123131231300
540413112112
64013300024
71003255264
oct233355560
984615017
1040754032
1121006120
1211794614
13859bb17
1455ac0a4
1538a0407
hex26ddb70

40754032 has 80 divisors (see below), whose sum is σ = 93288672. Its totient is φ = 17039360.

The previous prime is 40754027. The next prime is 40754047. The reversal of 40754032 is 23045704.

It is a super-2 number, since 2×407540322 = 3321782248514048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40753988 and 40754006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158448 + ... + 158704.

Almost surely, 240754032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40754032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46644336).

40754032 is an abundant number, since it is smaller than the sum of its proper divisors (52534640).

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

40754032 is a wasteful number, since it uses less digits than its factorization.

40754032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 40754032 is about 6383.8884702037. Note that the first 3 decimals coincide. The cubic root of 40754032 is about 344.1307867575.

Adding to 40754032 its reverse (23045704), we get a palindrome (63799736).

The spelling of 40754032 in words is "forty million, seven hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 53 68 88 106 136 176 187 212 257 272 374 424 514 583 748 848 901 1028 1166 1496 1802 2056 2332 2827 2992 3604 4112 4369 4664 5654 7208 8738 9328 9911 11308 13621 14416 17476 19822 22616 27242 34952 39644 45232 48059 54484 69904 79288 96118 108968 149831 158576 192236 217936 231557 299662 384472 463114 599324 768944 926228 1198648 1852456 2397296 2547127 3704912 5094254 10188508 20377016 40754032