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250325376 = 2737234049
BaseRepresentation
bin11101110101110…
…10100110000000
3122110000211212020
432322322212000
51003040403001
640501201440
76126505410
oct1672724600
9573024766
10250325376
11119336184
126ba00280
133cb27832
1425362640
1516e9a736
hexeeba980

250325376 has 128 divisors (see below), whose sum is σ = 793152000. Its totient is φ = 68395008.

The previous prime is 250325371. The next prime is 250325381. The reversal of 250325376 is 673523052.

250325376 is nontrivially palindromic in base 5.

250325376 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 an interprime number because it is at equal distance from previous prime (250325371) and next prime (250325381).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250325371) 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, 59800 + ... + 63848.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2250325376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

250325376 is an abundant number, since it is smaller than the sum of its proper divisors (542826624).

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

250325376 is a wasteful number, since it uses less digits than its factorization.

250325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 250325376 is about 15821.6742476895. The cubic root of 250325376 is about 630.2337051810.

The spelling of 250325376 in words is "two hundred fifty million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4049 4416 5152 7728 8098 8832 10304 12147 15456 16196 20608 24294 28343 30912 32392 48588 56686 61824 64784 85029 93127 97176 113372 129568 170058 186254 194352 226744 259136 279381 340116 372508 388704 453488 518272 558762 651889 680232 745016 777408 906976 1117524 1303778 1360464 1490032 1554816 1813952 1955667 2235048 2607556 2720928 2980064 3627904 3911334 4470096 5215112 5441856 5960128 7822668 8940192 10430224 10883712 11920256 15645336 17880384 20860448 31290672 35760768 41720896 62581344 83441792 125162688 250325376