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424690272 = 25325327823
BaseRepresentation
bin11001010100000…
…100001001100000
31002121010111112100
4121110010021200
51332210042042
6110050330400
713344544026
oct3124041140
91077114470
10424690272
111a87aa0a6
12ba289a00
1369ca7826
1440590716
152743e24c
hex19504260

424690272 has 72 divisors (see below), whose sum is σ = 1230544224. Its totient is φ = 138887424.

The previous prime is 424690249. The next prime is 424690283. The reversal of 424690272 is 272096424.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353 + ... + 29175.

It is an arithmetic number, because the mean of its divisors is an integer number (17090892).

Almost surely, 2424690272 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 424690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615272112).

424690272 is an abundant number, since it is smaller than the sum of its proper divisors (805853952).

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

424690272 is a wasteful number, since it uses less digits than its factorization.

424690272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27892 (or 27881 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 424690272 is about 20608.0147515475. The cubic root of 424690272 is about 751.6646120224.

The spelling of 424690272 in words is "four hundred twenty-four million, six hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 27823 55646 83469 111292 166938 222584 250407 333876 445168 500814 667752 890336 1001628 1335504 1474619 2003256 2671008 2949238 4006512 4423857 5898476 8013024 8847714 11796952 13271571 17695428 23593904 26543142 35390856 47187808 53086284 70781712 106172568 141563424 212345136 424690272