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405040224 = 25325716417
BaseRepresentation
bin11000001001000…
…110110001100000
31001020011011201210
4120021012301200
51312142241344
6104105230120
713015533201
oct3011066140
91036134653
10405040224
111986a8796
12b3792340
1365bb7794
143bb175a8
152585bdb9
hex18246c60

405040224 has 48 divisors (see below), whose sum is σ = 1067432688. Its totient is φ = 134479872.

The previous prime is 405040217. The next prime is 405040241. The reversal of 405040224 is 422040504.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405040224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16464 + ... + 32880.

It is an arithmetic number, because the mean of its divisors is an integer number (22238181).

Almost surely, 2405040224 is an apocalyptic number.

It is an amenable number.

405040224 is an abundant number, since it is smaller than the sum of its proper divisors (662392464).

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

405040224 is a wasteful number, since it uses less digits than its factorization.

405040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 405040224 is about 20125.6111460000. The cubic root of 405040224 is about 739.8881155412. Note that the first 3 decimals are identical.

Adding to 405040224 its reverse (422040504), we get a palindrome (827080728).

The spelling of 405040224 in words is "four hundred five million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16417 24672 32834 49251 65668 98502 131336 197004 262672 394008 525344 788016 1576032 4219169 8438338 12657507 16876676 25315014 33753352 50630028 67506704 101260056 135013408 202520112 405040224