Search a number
-
+
1051964256 = 25371938111
BaseRepresentation
bin111110101100111…
…011001101100000
32201022110022200010
4332230323031200
54123300324011
6252215124520
735032356120
oct7654731540
92638408603
101051964256
1149a896352
12254373740
13139c32675
149d9d6c80
15625481a6
hex3eb3b360

1051964256 has 96 divisors (see below), whose sum is σ = 3172635648. Its totient is φ = 298967040.

The previous prime is 1051964239. The next prime is 1051964257. The reversal of 1051964256 is 6524691501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10519642562 = 2213257591803267072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051964257) 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 15 ways as a sum of consecutive naturals, for example, 125641 + ... + 133751.

It is an arithmetic number, because the mean of its divisors is an integer number (33048288).

Almost surely, 21051964256 is an apocalyptic number.

1051964256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586317824).

1051964256 is an abundant number, since it is smaller than the sum of its proper divisors (2120671392).

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

1051964256 is a wasteful number, since it uses less digits than its factorization.

1051964256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1051964256 is about 32433.9984584078. The cubic root of 1051964256 is about 1017.0297596700.

The spelling of 1051964256 in words is "one billion, fifty-one million, nine hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 193 224 336 386 579 672 772 1158 1351 1544 2316 2702 3088 4053 4632 5404 6176 8106 8111 9264 10808 16212 16222 18528 21616 24333 32424 32444 43232 48666 56777 64848 64888 97332 113554 129696 129776 170331 194664 227108 259552 340662 389328 454216 681324 778656 908432 1362648 1565423 1816864 2725296 3130846 4696269 5450592 6261692 9392538 10957961 12523384 18785076 21915922 25046768 32873883 37570152 43831844 50093536 65747766 75140304 87663688 131495532 150280608 175327376 262991064 350654752 525982128 1051964256