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525061040 = 24571039103
BaseRepresentation
bin11111010010111…
…100101110110000
31100120222212100012
4133102330232300
52033403423130
6124033514052
716003642130
oct3722745660
91316885305
10525061040
1124a424149
12127a12928
1384a1b00a
144da3aac0
1531168995
hex1f4bcbb0

525061040 has 80 divisors (see below), whose sum is σ = 1408862208. Its totient is φ = 178253568.

The previous prime is 525061039. The next prime is 525061057. The reversal of 525061040 is 40160525.

525061040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 525060997 and 525061015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53129 + ... + 62231.

Almost surely, 2525061040 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 525061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704431104).

525061040 is an abundant number, since it is smaller than the sum of its proper divisors (883801168).

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

525061040 is a wasteful number, since it uses less digits than its factorization.

525061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 525061040 is about 22914.2104380666. The cubic root of 525061040 is about 806.7455864624.

The spelling of 525061040 in words is "five hundred twenty-five million, sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2884 3605 4120 5768 7210 8240 9103 11536 14420 18206 28840 36412 45515 57680 63721 72824 91030 127442 145648 182060 254884 318605 364120 509768 637210 728240 937609 1019536 1274420 1875218 2548840 3750436 4688045 5097680 6563263 7500872 9376090 13126526 15001744 18752180 26253052 32816315 37504360 52506104 65632630 75008720 105012208 131265260 262530520 525061040