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1052264064 = 2734915581
BaseRepresentation
bin111110101110000…
…100011010000000
32201100000112221010
4332232010122000
54123334422224
6252225400520
735035045155
oct7656043200
92640015833
101052264064
1149aa80625
12254499140
1313a008c77
149da7422c
15625a6e29
hex3eb84680

1052264064 has 64 divisors (see below), whose sum is σ = 2801270880. Its totient is φ = 349977600.

The previous prime is 1052264063. The next prime is 1052264069. The reversal of 1052264064 is 4604622501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10522640642 = 2214519320771592192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052264063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185754 + ... + 191334.

Almost surely, 21052264064 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 1052264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400635440).

1052264064 is an abundant number, since it is smaller than the sum of its proper divisors (1749006816).

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

1052264064 is an equidigital number, since it uses as much as digits as its factorization.

1052264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6077 counting only the distinct ones).

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

The square root of 1052264064 is about 32438.6199459841. The cubic root of 1052264064 is about 1017.1263677358.

Adding to 1052264064 its reverse (4604622501), we get a palindrome (5656886565).

The spelling of 1052264064 in words is "one billion, fifty-two million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 491 982 1473 1964 2946 3928 5581 5892 7856 11162 11784 15712 16743 22324 23568 31424 33486 44648 47136 62848 66972 89296 94272 133944 178592 188544 267888 357184 535776 714368 1071552 2143104 2740271 5480542 8220813 10961084 16441626 21922168 32883252 43844336 65766504 87688672 131533008 175377344 263066016 350754688 526132032 1052264064