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2056915296 = 2535833187
BaseRepresentation
bin111101010011010…
…0000100101100000
312022100110010100000
41322212200211200
513203032242141
6540034500000
7101654330412
oct17246404540
95270403300
102056915296
119660909a7
12494a34600
1326a1b4257
141572729b2
15c08a65b6
hex7a9a0960

2056915296 has 144 divisors (see below), whose sum is σ = 6141006144. Its totient is φ = 677165184.

The previous prime is 2056915291. The next prime is 2056915307. The reversal of 2056915296 is 6925196502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056915291) 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 23 ways as a sum of consecutive naturals, for example, 643815 + ... + 647001.

It is an arithmetic number, because the mean of its divisors is an integer number (42645876).

Almost surely, 22056915296 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 2056915296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070503072).

2056915296 is an abundant number, since it is smaller than the sum of its proper divisors (4084090848).

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

2056915296 is an equidigital number, since it uses as much as digits as its factorization.

2056915296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2056915296 is about 45353.2280659271. The cubic root of 2056915296 is about 1271.7609020158.

The spelling of 2056915296 in words is "two billion, fifty-six million, nine hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 216 243 249 288 324 332 432 486 498 648 664 747 864 972 996 1296 1328 1494 1944 1992 2241 2592 2656 2988 3187 3888 3984 4482 5976 6374 6723 7776 7968 8964 9561 11952 12748 13446 17928 19122 20169 23904 25496 26892 28683 35856 38244 40338 50992 53784 57366 71712 76488 80676 86049 101984 107568 114732 152976 161352 172098 215136 229464 258147 264521 305952 322704 344196 458928 516294 529042 645408 688392 774441 793563 917856 1032588 1058084 1376784 1548882 1587126 2065176 2116168 2380689 2753568 3097764 3174252 4130352 4232336 4761378 6195528 6348504 7142067 8260704 8464672 9522756 12391056 12697008 14284134 19045512 21426201 24782112 25394016 28568268 38091024 42852402 57136536 64278603 76182048 85704804 114273072 128557206 171409608 228546144 257114412 342819216 514228824 685638432 1028457648 2056915296