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1056641504 = 25414611747
BaseRepresentation
bin111110111110110…
…001000111100000
32201122020221122112
4332332301013200
54131000012004
6252503254452
735120206322
oct7676610740
92648227575
101056641504
114a24a0446
12255a4a428
1313abac579
14a0493612
1562b6de6e
hex3efb11e0

1056641504 has 48 divisors (see below), whose sum is σ = 2136846096. Its totient is φ = 514022400.

The previous prime is 1056641501. The next prime is 1056641513. The reversal of 1056641504 is 4051466501.

It is a super-2 number, since 2×10566415042 = 2232982535950764032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056641501) 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, 603959 + ... + 605705.

It is an arithmetic number, because the mean of its divisors is an integer number (44517627).

Almost surely, 21056641504 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 1056641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068423048).

1056641504 is an abundant number, since it is smaller than the sum of its proper divisors (1080204592).

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

1056641504 is a wasteful number, since it uses less digits than its factorization.

1056641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1056641504 is about 32506.0225804388. The cubic root of 1056641504 is about 1018.5348386036.

The spelling of 1056641504 in words is "one billion, fifty-six million, six hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 461 656 922 1312 1747 1844 3494 3688 6988 7376 13976 14752 18901 27952 37802 55904 71627 75604 143254 151208 286508 302416 573016 604832 805367 1146032 1610734 2292064 3221468 6442936 12885872 25771744 33020047 66040094 132080188 264160376 528320752 1056641504