| Base | Representation |
|---|---|
| bin | 10111111010101… |
| … | …010000000110000 |
| 3 | 1000222000201211000 |
| 4 | 113322222000300 |
| 5 | 1310210034100 |
| 6 | 103452122000 |
| 7 | 12641406033 |
| oct | 2772520060 |
| 9 | 1028021730 |
| 10 | 401252400 |
| 11 | 19655095a |
| 12 | b2466300 |
| 13 | 6518c673 |
| 14 | 3b40d01a |
| 15 | 2535e900 |
| hex | 17eaa030 |
401252400 has 240 divisors, whose sum is σ = 1457183520. Its totient is φ = 104832000.
The previous prime is 401252359. The next prime is 401252407. The reversal of 401252400 is 4252104.
401252400 is a `hidden beast` number, since 401 + 25 + 240 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×4012524002 = 322006977011520000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (401252407) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 572050 + ... + 572750.
It is an arithmetic number, because the mean of its divisors is an integer number (6071598).
Almost surely, 2401252400 is an apocalyptic number.
401252400 is a gapful number since it is divisible by the number (40) 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 401252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728591760).
401252400 is an abundant number, since it is smaller than the sum of its proper divisors (1055931120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401252400 is a wasteful number, since it uses less digits than its factorization.
401252400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 781 (or 764 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 401252400 is about 20031.2855303897. The cubic root of 401252400 is about 737.5744787370.
The spelling of 401252400 in words is "four hundred one million, two hundred fifty-two thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •