Search a number
BaseRepresentation
bin1111110000001011010000
321202210121000
433300023100
52024120423
6224302000
750046216
oct17601320
97683530
104129488
112370600
121471900
13b177ac
14796cb6
15568843
hex3f02d0

4129488 has 120 divisors (see below), whose sum is σ = 13193600. Its totient is φ = 1235520.

The previous prime is 4129439. The next prime is 4129493. The reversal of 4129488 is 8849214.

4129488 = 673 + 683 + ... + 773.

It is a super-2 number, since 2×41294882 = 34105342284288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52233 + ... + 52311.

Almost surely, 24129488 is an apocalyptic number.

4129488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596800).

4129488 is an abundant number, since it is smaller than the sum of its proper divisors (9064112).

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

4129488 is a wasteful number, since it uses less digits than its factorization.

4129488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4129488 is about 2032.1141700210. The cubic root of 4129488 is about 160.4348587078.

The spelling of 4129488 in words is "four million, one hundred twenty-nine thousand, four hundred eighty-eight".