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250471040 = 2752291709
BaseRepresentation
bin11101110110111…
…10001010000000
3122110022020200012
432323132022000
51003110033130
640504244052
76130653161
oct1673361200
9573266605
10250471040
11119425666
126ba70628
133cb78c21
142539d768
1516ec8995
hexeede280

250471040 has 64 divisors (see below), whose sum is σ = 601749000. Its totient is φ = 99692544.

The previous prime is 250471027. The next prime is 250471043. The reversal of 250471040 is 40174052.

250471040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 217385536 + 33085504 = 14744^2 + 5752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 250470997 and 250471015.

It is not an unprimeable number, because it can be changed into a prime (250471043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145706 + ... + 147414.

Almost surely, 2250471040 is an apocalyptic number.

250471040 is a gapful number since it is divisible by the number (20) 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 250471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300874500).

250471040 is an abundant number, since it is smaller than the sum of its proper divisors (351277960).

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

250471040 is a wasteful number, since it uses less digits than its factorization.

250471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 250471040 is about 15826.2768837146. The cubic root of 250471040 is about 630.3559255262.

The spelling of 250471040 in words is "two hundred fifty million, four hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 320 458 640 916 1145 1709 1832 2290 3418 3664 4580 6836 7328 8545 9160 13672 14656 17090 18320 27344 29312 34180 36640 54688 68360 73280 109376 136720 146560 218752 273440 391361 546880 782722 1093760 1565444 1956805 3130888 3913610 6261776 7827220 12523552 15654440 25047104 31308880 50094208 62617760 125235520 250471040