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4054413150 = 2335229103561
BaseRepresentation
bin1111000110101001…
…0110111101011110
3101110120002112021000
43301222112331132
531300412210100
61510152051130
7202320641334
oct36152267536
911416075230
104054413150
1117a0679677
12951993aa6
134c7c93748
142a6679b54
1518ae22900
hexf1a96f5e

4054413150 has 96 divisors (see below), whose sum is σ = 11557519200. Its totient is φ = 1043884800.

The previous prime is 4054413149. The next prime is 4054413163. The reversal of 4054413150 is 513144504.

It is a happy number.

4054413150 is a `hidden beast` number, since 40 + 544 + 1 + 31 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12631 + ... + 90930.

It is an arithmetic number, because the mean of its divisors is an integer number (120390825).

Almost surely, 24054413150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054413150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778759600).

4054413150 is an abundant number, since it is smaller than the sum of its proper divisors (7503106050).

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

4054413150 is a wasteful number, since it uses less digits than its factorization.

4054413150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103611 (or 103600 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4054413150 is about 63674.2738474496. The cubic root of 4054413150 is about 1594.5666154161.

Adding to 4054413150 its reverse (513144504), we get a palindrome (4567557654).

The spelling of 4054413150 in words is "four billion, fifty-four million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1305 1350 1450 1566 2175 2610 3915 4350 6525 7830 13050 19575 39150 103561 207122 310683 517805 621366 932049 1035610 1553415 1864098 2589025 2796147 3003269 3106830 4660245 5178050 5592294 6006538 7767075 9009807 9320490 13980735 15016345 15534150 18019614 23301225 27029421 27961470 30032690 45049035 46602450 54058842 69903675 75081725 81088263 90098070 135147105 139807350 150163450 162176526 225245175 270294210 405441315 450490350 675735525 810882630 1351471050 2027206575 4054413150