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424258992 = 24339912
BaseRepresentation
bin11001010010011…
…010110110110000
31002120022120221000
4121102122312300
51332102241432
6110033202000
713341066453
oct3122326660
91076276830
10424258992
111a8535073
12ba100300
1369b86431
14404bb49a
15273a657c
hex1949adb0

424258992 has 60 divisors (see below), whose sum is σ = 1219010520. Its totient is φ = 141276960.

The previous prime is 424258981. The next prime is 424259039. The reversal of 424258992 is 299852424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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, 427617 + ... + 428607.

It is an arithmetic number, because the mean of its divisors is an integer number (20316842).

Almost surely, 2424258992 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 424258992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609505260).

424258992 is an abundant number, since it is smaller than the sum of its proper divisors (794751528).

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

424258992 is an frugal number, since it uses more digits than its factorization.

424258992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 996 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 424258992 is about 20597.5482036091. The cubic root of 424258992 is about 751.4100832256.

The spelling of 424258992 in words is "four hundred twenty-four million, two hundred fifty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 991 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 26757 35676 47568 53514 71352 107028 142704 214056 428112 982081 1964162 2946243 3928324 5892486 7856648 8838729 11784972 15713296 17677458 23569944 26516187 35354916 47139888 53032374 70709832 106064748 141419664 212129496 424258992