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526053416 = 23727916987
BaseRepresentation
bin11111010110101…
…111000000101000
31100122212021121212
4133112233000220
52034132202131
6124111052252
716015244300
oct3726570050
91318767555
10526053416
1124aa41799
12128211088
1384ca7915
144dc18600
15312b2a2b
hex1f5af028

526053416 has 48 divisors (see below), whose sum is σ = 1161979200. Its totient is φ = 222584544.

The previous prime is 526053377. The next prime is 526053427. The reversal of 526053416 is 614350625.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22475 + ... + 39461.

It is an arithmetic number, because the mean of its divisors is an integer number (24207900).

Almost surely, 2526053416 is an apocalyptic number.

526053416 is a gapful number since it is divisible by the number (56) 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 526053416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580989600).

526053416 is an abundant number, since it is smaller than the sum of its proper divisors (635925784).

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

526053416 is a wasteful number, since it uses less digits than its factorization.

526053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086 (or 17075 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 526053416 is about 22935.8543769357. The cubic root of 526053416 is about 807.2535217600.

The spelling of 526053416 in words is "five hundred twenty-six million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 1106 2212 3871 4424 7742 15484 16987 30968 33974 67948 118909 135896 237818 475636 832363 951272 1341973 1664726 2683946 3329452 5367892 6658904 9393811 10735784 18787622 37575244 65756677 75150488 131513354 263026708 526053416