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1064577248 = 2574752577
BaseRepresentation
bin111111011101000…
…010100011100000
32202012012010102222
4333131002203200
54140012432443
6253345330212
735244520520
oct7735024340
92665163388
101064577248
114a6a20709
12258636968
1313c72a687
14a155b680
15636da468
hex3f7428e0

1064577248 has 24 divisors (see below), whose sum is σ = 2395299312. Its totient is φ = 456247296.

The previous prime is 1064577229. The next prime is 1064577251. The reversal of 1064577248 is 8427754601.

1064577248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10645772482 = 2266649433918507008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064577199 and 1064577208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2376065 + ... + 2376512.

It is an arithmetic number, because the mean of its divisors is an integer number (99804138).

Almost surely, 21064577248 is an apocalyptic number.

It is an amenable number.

1064577248 is an abundant number, since it is smaller than the sum of its proper divisors (1330722064).

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

1064577248 is an equidigital number, since it uses as much as digits as its factorization.

1064577248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752594 (or 4752586 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 1064577248 is about 32627.8599972478. The cubic root of 1064577248 is about 1021.0783315972.

The spelling of 1064577248 in words is "one billion, sixty-four million, five hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4752577 9505154 19010308 33268039 38020616 66536078 76041232 133072156 152082464 266144312 532288624 1064577248