Search a number
-
+
410421152 = 25314110091
BaseRepresentation
bin11000011101101…
…000011110100000
31001121021112222102
4120131220132200
51320031434102
6104420425532
713112344061
oct3035503640
91047245872
10410421152
111a0743539
12b55482a8
136704ca6b
143c718568
1526071402
hex187687a0

410421152 has 48 divisors (see below), whose sum is σ = 854509824. Its totient is φ = 193728000.

The previous prime is 410421149. The next prime is 410421173. The reversal of 410421152 is 251124014.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35627 + ... + 45717.

It is an arithmetic number, because the mean of its divisors is an integer number (17802288).

Almost surely, 2410421152 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 410421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427254912).

410421152 is an abundant number, since it is smaller than the sum of its proper divisors (444088672).

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

410421152 is a wasteful number, since it uses less digits than its factorization.

410421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 410421152 is about 20258.8536694454. The cubic root of 410421152 is about 743.1501646496.

Adding to 410421152 its reverse (251124014), we get a palindrome (661545166).

The spelling of 410421152 in words is "four hundred ten million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2542 5084 10091 10168 20182 20336 40364 40672 80728 161456 312821 322912 413731 625642 827462 1251284 1654924 2502568 3309848 5005136 6619696 10010272 12825661 13239392 25651322 51302644 102605288 205210576 410421152