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2913248256 = 21033073089
BaseRepresentation
bin1010110110100100…
…1010010000000000
321112000210100022120
42231221022100000
521431242421011
61201025004240
7132123126102
oct25551122000
97460710276
102913248256
1112654a8596
12693783680
1337572bc49
141d8ca3572
15120b59a06
hexada4a400

2913248256 has 88 divisors (see below), whose sum is σ = 7792683360. Its totient is φ = 967606272.

The previous prime is 2913248249. The next prime is 2913248257. The reversal of 2913248256 is 6528423192.

It is not an unprimeable number, because it can be changed into a prime (2913248257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941560 + ... + 944648.

It is an arithmetic number, because the mean of its divisors is an integer number (88553220).

Almost surely, 22913248256 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 2913248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896341680).

2913248256 is an abundant number, since it is smaller than the sum of its proper divisors (4879435104).

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

2913248256 is a wasteful number, since it uses less digits than its factorization.

2913248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3401 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2913248256 is about 53974.5148750778. The cubic root of 2913248256 is about 1428.2114101393.

The spelling of 2913248256 in words is "two billion, nine hundred thirteen million, two hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 512 614 768 921 1024 1228 1536 1842 2456 3072 3089 3684 4912 6178 7368 9267 9824 12356 14736 18534 19648 24712 29472 37068 39296 49424 58944 74136 78592 98848 117888 148272 157184 197696 235776 296544 314368 395392 471552 593088 790784 943104 948323 1186176 1581568 1896646 2372352 2844969 3163136 3793292 4744704 5689938 7586584 9489408 11379876 15173168 22759752 30346336 45519504 60692672 91039008 121385344 182078016 242770688 364156032 485541376 728312064 971082752 1456624128 2913248256