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250331424 = 25371512467
BaseRepresentation
bin11101110101111…
…00000100100000
3122110001011011020
432322330010200
51003041101144
640501245440
76126532140
oct1672740440
9573034136
10250331424
1111933a782
126ba03880
133cb2a505
1425364920
1516e9c419
hexeebc120

250331424 has 96 divisors (see below), whose sum is σ = 756274176. Its totient is φ = 71020800.

The previous prime is 250331401. The next prime is 250331449. The reversal of 250331424 is 424133052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 250331394 and 250331403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100239 + ... + 102705.

It is an arithmetic number, because the mean of its divisors is an integer number (7877856).

Almost surely, 2250331424 is an apocalyptic number.

250331424 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 250331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378137088).

250331424 is an abundant number, since it is smaller than the sum of its proper divisors (505942752).

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

250331424 is a wasteful number, since it uses less digits than its factorization.

250331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 250331424 is about 15821.8653767500. The cubic root of 250331424 is about 630.2387807388.

Adding to 250331424 its reverse (424133052), we get a palindrome (674464476).

The spelling of 250331424 in words is "two hundred fifty million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 2467 3171 3624 4228 4832 4934 6342 7248 7401 8456 9868 12684 14496 14802 16912 17269 19736 25368 29604 33824 34538 39472 50736 51807 59208 69076 78944 101472 103614 118416 138152 207228 236832 276304 372517 414456 552608 745034 828912 1117551 1490068 1657824 2235102 2607619 2980136 4470204 5215238 5960272 7822857 8940408 10430476 11920544 15645714 17880816 20860952 31291428 35761632 41721904 62582856 83443808 125165712 250331424