Search a number
-
+
250038144 = 2733711019
BaseRepresentation
bin11101110011101…
…00011110000000
3122102111020212000
432321310132000
51003002210034
640451104000
76124201116
oct1671643600
9572436760
10250038144
1111915a3a4
126b8a2000
133ca56b85
14252c9ab6
1516e40599
hexee74780

250038144 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 82091520.

The previous prime is 250038121. The next prime is 250038149. The reversal of 250038144 is 441830052.

250038144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250038149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244867 + ... + 245885.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2250038144 is an apocalyptic number.

250038144 is a gapful number since it is divisible by the number (24) 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 250038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

250038144 is an abundant number, since it is smaller than the sum of its proper divisors (499049856).

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

250038144 is a wasteful number, since it uses less digits than its factorization.

250038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 250038144 is about 15812.5944740261. The cubic root of 250038144 is about 629.9925622705.

Adding to 250038144 its reverse (441830052), we get a palindrome (691868196).

The spelling of 250038144 in words is "two hundred fifty million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 284 288 384 426 432 568 576 639 852 864 1019 1136 1152 1278 1704 1728 1917 2038 2272 2556 3057 3408 3456 3834 4076 4544 5112 6114 6816 7668 8152 9088 9171 10224 12228 13632 15336 16304 18342 20448 24456 27264 27513 30672 32608 36684 40896 48912 55026 61344 65216 72349 73368 81792 97824 110052 122688 130432 144698 146736 195648 217047 220104 245376 289396 293472 391296 434094 440208 578792 586944 651141 868188 880416 1157584 1173888 1302282 1736376 1760832 1953423 2315168 2604564 3472752 3521664 3906846 4630336 5209128 6945504 7813692 9260672 10418256 13891008 15627384 20836512 27782016 31254768 41673024 62509536 83346048 125019072 250038144