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250245072 = 24337117523
BaseRepresentation
bin11101110101001…
…10111111010000
3122102212202201000
432322212333100
51003030320242
640455342000
76126022320
oct1672467720
9572782630
10250245072
11119290910
126b981900
133caca10c
1425341280
1516e81a4c
hexeea6fd0

250245072 has 160 divisors (see below), whose sum is σ = 895656960. Its totient is φ = 64990080.

The previous prime is 250245041. The next prime is 250245131. The reversal of 250245072 is 270542052.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29503 + ... + 37025.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2250245072 is an apocalyptic number.

250245072 is a gapful number since it is divisible by the number (22) 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 250245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

250245072 is an abundant number, since it is smaller than the sum of its proper divisors (645411888).

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

250245072 is a wasteful number, since it uses less digits than its factorization.

250245072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 250245072 is about 15819.1362596066. The cubic root of 250245072 is about 630.1663053018.

It can be divided in two parts, 2502 and 45072, that added together give a palindrome (47574).

The spelling of 250245072 in words is "two hundred fifty million, two hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 7523 8316 11088 15046 16632 22569 30092 33264 45138 52661 60184 67707 82753 90276 105322 120368 135414 157983 165506 180552 203121 210644 248259 270828 315966 331012 361104 406242 421288 473949 496518 541656 579271 631932 662024 744777 812484 842576 947898 993036 1083312 1158542 1263864 1324048 1421847 1489554 1624968 1737813 1895796 1986072 2234331 2317084 2527728 2843694 2979108 3249936 3475626 3791592 3972144 4468662 4634168 5213439 5687388 5958216 6951252 7583184 8937324 9268336 10426878 11374776 11916432 13902504 15640317 17874648 20853756 22749552 27805008 31280634 35749296 41707512 62561268 83415024 125122536 250245072