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424093408 = 2537477621
BaseRepresentation
bin11001010001110…
…010011011100000
31002120000011210021
4121101302123200
51332031442113
6110025443224
713336506634
oct3121623340
91076004707
10424093408
111a8431722
12ba040514
1369b28c5b
1440476dc4
152737248d
hex194726e0

424093408 has 48 divisors (see below), whose sum is σ = 875859264. Its totient is φ = 201899520.

The previous prime is 424093393. The next prime is 424093429. The reversal of 424093408 is 804390424.

It is a congruent 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, 51838 + ... + 59458.

It is an arithmetic number, because the mean of its divisors is an integer number (18247068).

Almost surely, 2424093408 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 424093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437929632).

424093408 is an abundant number, since it is smaller than the sum of its proper divisors (451765856).

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

424093408 is a wasteful number, since it uses less digits than its factorization.

424093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 424093408 is about 20593.5283038143. The cubic root of 424093408 is about 751.3123145828.

The spelling of 424093408 in words is "four hundred twenty-four million, ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 47 74 94 148 188 296 376 592 752 1184 1504 1739 3478 6956 7621 13912 15242 27824 30484 55648 60968 121936 243872 281977 358187 563954 716374 1127908 1432748 2255816 2865496 4511632 5730992 9023264 11461984 13252919 26505838 53011676 106023352 212046704 424093408