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525125250 = 232531321381
BaseRepresentation
bin11111010011001…
…100011010000010
31100121010010102100
4133103030122002
52033413002000
6124035131230
716004330256
oct3723143202
91317103370
10525125250
1124a468411
12127a43b16
1384a41300
144da56266
153117ca00
hex1f4cc682

525125250 has 144 divisors (see below), whose sum is σ = 1538680104. Its totient is φ = 129168000.

The previous prime is 525125231. The next prime is 525125261. The reversal of 525125250 is 52521525.

525125250 is a `hidden beast` number, since 52 + 512 + 52 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 180391761 + 344733489 = 13431^2 + 18567^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379560 + ... + 380940.

Almost surely, 2525125250 is an apocalyptic number.

525125250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 525125250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769340052).

525125250 is an abundant number, since it is smaller than the sum of its proper divisors (1013554854).

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

525125250 is a wasteful number, since it uses less digits than its factorization.

525125250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 525125250 is about 22915.6114908592. The cubic root of 525125250 is about 806.7784709074.

Adding to 525125250 its reverse (52521525), we get a palindrome (577646775).

The spelling of 525125250 in words is "five hundred twenty-five million, one hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 169 195 225 234 250 325 338 375 390 450 507 585 650 750 845 975 1014 1125 1170 1381 1521 1625 1690 1950 2250 2535 2762 2925 3042 3250 4143 4225 4875 5070 5850 6905 7605 8286 8450 9750 12429 12675 13810 14625 15210 17953 20715 21125 24858 25350 29250 34525 35906 38025 41430 42250 53859 62145 63375 69050 76050 89765 103575 107718 124290 126750 161577 172625 179530 190125 207150 233389 269295 310725 323154 345250 380250 448825 466778 517875 538590 621450 700167 807885 897650 1035750 1166945 1346475 1400334 1553625 1615770 2100501 2244125 2333890 2692950 3107250 3500835 4039425 4201002 4488250 5834725 6732375 7001670 8078850 10502505 11669450 13464750 17504175 20197125 21005010 29173625 35008350 40394250 52512525 58347250 87520875 105025050 175041750 262562625 525125250