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526142440 = 23547279863
BaseRepresentation
bin11111010111000…
…100101111101000
31100200000210202001
4133113010233220
52034143024230
6124113020344
716016064655
oct3727045750
91320023661
10526142440
1124aaa266a
121282546b4
13850092b5
144dc3cc2c
15312ce0ca
hex1f5c4be8

526142440 has 32 divisors (see below), whose sum is σ = 1209012480. Its totient is φ = 205978432.

The previous prime is 526142429. The next prime is 526142443. The reversal of 526142440 is 44241625.

It is a junction number, because it is equal to n+sod(n) for n = 526142399 and 526142408.

It is not an unprimeable number, because it can be changed into a prime (526142443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138052 + ... + 141811.

It is an arithmetic number, because the mean of its divisors is an integer number (37781640).

Almost surely, 2526142440 is an apocalyptic number.

It is an amenable number.

526142440 is an abundant number, since it is smaller than the sum of its proper divisors (682870040).

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

526142440 is a wasteful number, since it uses less digits than its factorization.

526142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279921 (or 279917 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 526142440 is about 22937.7950117268. The cubic root of 526142440 is about 807.2990563527.

The spelling of 526142440 in words is "five hundred twenty-six million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 279863 559726 1119452 1399315 2238904 2798630 5597260 11194520 13153561 26307122 52614244 65767805 105228488 131535610 263071220 526142440