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526142064 = 24374733317
BaseRepresentation
bin11111010111000…
…100101001110000
31100200000210020010
4133113010221300
52034143021224
6124113014520
716016063610
oct3727045160
91320023203
10526142064
1124aaa2358
12128254440
1385009086
144dc3ca40
15312cde29
hex1f5c4a70

526142064 has 80 divisors (see below), whose sum is σ = 1586469888. Its totient is φ = 147123456.

The previous prime is 526142051. The next prime is 526142083. The reversal of 526142064 is 460241625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867 + ... + 32450.

Almost surely, 2526142064 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 526142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793234944).

526142064 is an abundant number, since it is smaller than the sum of its proper divisors (1060327824).

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

526142064 is a wasteful number, since it uses less digits than its factorization.

526142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33382 (or 33376 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 526142064 is about 22937.7868156455. The cubic root of 526142064 is about 807.2988640445.

Adding to 526142064 its reverse (460241625), we get a palindrome (986383689).

The spelling of 526142064 in words is "five hundred twenty-six million, one hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 33317 66634 99951 133268 199902 233219 266536 399804 466438 533072 699657 799608 932876 1399314 1565899 1599216 1865752 2798628 3131798 3731504 4697697 5597256 6263596 9395394 10961293 11194512 12527192 18790788 21922586 25054384 32883879 37581576 43845172 65767758 75163152 87690344 131535516 175380688 263071032 526142064