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2051040348 = 22327191273373
BaseRepresentation
bin111101001000000…
…0110010001011100
312021221101122102100
41322100012101130
513200031242343
6535304525100
7101553361320
oct17220062134
95257348370
102051040348
11962838a75
12492a80790
13268c08156
14156583980
15c00e59d3
hex7a40645c

2051040348 has 144 divisors (see below), whose sum is σ = 6288056320. Its totient is φ = 550634112.

The previous prime is 2051040337. The next prime is 2051040353. The reversal of 2051040348 is 8430401502.

2051040348 is a `hidden beast` number, since 205 + 10 + 403 + 48 = 666.

It is a super-2 number, since 2×20510403482 = 8413533018247922208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 606390 + ... + 609762.

Almost surely, 22051040348 is an apocalyptic number.

2051040348 is a gapful number since it is divisible by the number (28) 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 2051040348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144028160).

2051040348 is an abundant number, since it is smaller than the sum of its proper divisors (4237015972).

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

2051040348 is a wasteful number, since it uses less digits than its factorization.

2051040348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2051040348 is about 45288.4129551920. The cubic root of 2051040348 is about 1270.5489490380.

The spelling of 2051040348 in words is "two billion, fifty-one million, forty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 127 133 171 228 252 254 266 342 381 399 508 532 684 762 798 889 1143 1197 1524 1596 1778 2286 2394 2413 2667 3373 3556 4572 4788 4826 5334 6746 7239 8001 9652 10119 10668 13492 14478 16002 16891 20238 21717 23611 28956 30357 32004 33782 40476 43434 47222 50673 60714 64087 67564 70833 86868 94444 101346 121428 128174 141666 152019 192261 202692 212499 256348 283332 304038 384522 424998 428371 448609 576783 608076 769044 849996 856742 897218 1153566 1285113 1345827 1713484 1794436 2307132 2570226 2691654 2998597 3855339 4037481 5140452 5383308 5997194 7710678 8074962 8139049 8995791 11994388 15421356 16149924 16278098 17991582 24417147 26987373 32556196 35983164 48834294 53974746 56973343 73251441 97668588 107949492 113946686 146502882 170920029 227893372 293005764 341840058 512760087 683680116 1025520174 2051040348