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40008224 = 2519232861
BaseRepresentation
bin1001100010011…
…1101000100000
32210021121222002
42120213220200
540220230344
63545303132
7664031024
oct230475040
983247862
1040008224
1120646853
1211494aa8
13839a509
145456384
1537a444e
hex2627a20

40008224 has 48 divisors (see below), whose sum is σ = 86546880. Its totient is φ = 18120960.

The previous prime is 40008223. The next prime is 40008277. The reversal of 40008224 is 42280004.

It is a junction number, because it is equal to n+sod(n) for n = 40008196 and 40008205.

It is not an unprimeable number, because it can be changed into a prime (40008223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12554 + ... + 15414.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 240008224 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 40008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43273440).

40008224 is an abundant number, since it is smaller than the sum of its proper divisors (46538656).

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

40008224 is a wasteful number, since it uses less digits than its factorization.

40008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 40008224 is about 6325.2054512087. The cubic root of 40008224 is about 342.0186257995.

Adding to 40008224 its reverse (42280004), we get a palindrome (82288228).

The spelling of 40008224 in words is "forty million, eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 2861 3496 5722 6992 11444 13984 22888 45776 54359 65803 91552 108718 131606 217436 263212 434872 526424 869744 1052848 1250257 1739488 2105696 2500514 5001028 10002056 20004112 40008224