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250400520 = 233253491993
BaseRepresentation
bin11101110110011…
…00111100001000
3122110011122221100
432323030330020
51003100304040
640502541400
76130240446
oct1673147410
9573148840
10250400520
11119387687
126ba37860
133cb52ab6
1425381b96
1516eb2b30
hexeeccf08

250400520 has 96 divisors (see below), whose sum is σ = 816543000. Its totient is φ = 66548736.

The previous prime is 250400483. The next prime is 250400561. The reversal of 250400520 is 25004052.

It can be written as a sum of positive squares in 4 ways, for example, as 238331844 + 12068676 = 15438^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 250400493 and 250400502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124644 + ... + 126636.

Almost surely, 2250400520 is an apocalyptic number.

250400520 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 250400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408271500).

250400520 is an abundant number, since it is smaller than the sum of its proper divisors (566142480).

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

250400520 is a wasteful number, since it uses less digits than its factorization.

250400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 250400520 is about 15824.0487865780. The cubic root of 250400520 is about 630.2967611715.

Adding to 250400520 its reverse (25004052), we get a palindrome (275404572).

The spelling of 250400520 in words is "two hundred fifty million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 349 360 698 1047 1396 1745 1993 2094 2792 3141 3490 3986 4188 5235 5979 6282 6980 7972 8376 9965 10470 11958 12564 13960 15705 15944 17937 19930 20940 23916 25128 29895 31410 35874 39860 41880 47832 59790 62820 71748 79720 89685 119580 125640 143496 179370 239160 358740 695557 717480 1391114 2086671 2782228 3477785 4173342 5564456 6260013 6955570 8346684 10433355 12520026 13911140 16693368 20866710 25040052 27822280 31300065 41733420 50080104 62600130 83466840 125200260 250400520