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2949852048 = 24311133671171
BaseRepresentation
bin1010111111010011…
…0010101110010000
321121120200000021120
42233310302232100
522020130231143
61204413322240
7133046220513
oct25764625620
97546600246
102949852048
111284129560
126a3a96380
133801a69b0
141ddab0d7a
15123e8a383
hexafd32b90

2949852048 has 160 divisors (see below), whose sum is σ = 8984758272. Its totient is φ = 822182400.

The previous prime is 2949852043. The next prime is 2949852071. The reversal of 2949852048 is 8402589492.

It is not an unprimeable number, because it can be changed into a prime (2949852041) 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 31 ways as a sum of consecutive naturals, for example, 2518503 + ... + 2519673.

Almost surely, 22949852048 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 2949852048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492379136).

2949852048 is an abundant number, since it is smaller than the sum of its proper divisors (6034906224).

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

2949852048 is a wasteful number, since it uses less digits than its factorization.

2949852048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2949852048 is about 54312.5404303647. The cubic root of 2949852048 is about 1434.1681651648.

The spelling of 2949852048 in words is "two billion, nine hundred forty-nine million, eight hundred fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 367 429 528 572 624 734 858 1101 1144 1171 1468 1716 2202 2288 2342 2936 3432 3513 4037 4404 4684 4771 5872 6864 7026 8074 8808 9368 9542 12111 12881 14052 14313 15223 16148 17616 18736 19084 24222 25762 28104 28626 30446 32296 38168 38643 45669 48444 51524 52481 56208 57252 60892 64592 76336 77286 91338 96888 103048 104962 114504 121784 154572 157443 167453 182676 193776 206096 209924 229008 243568 309144 314886 334906 365352 419848 429757 502359 618288 629772 669812 730704 839696 859514 1004718 1259544 1289271 1339624 1719028 2009436 2519088 2578542 2679248 3438056 4018872 4727327 5157084 5586841 6876112 8037744 9454654 10314168 11173682 14181981 16760523 18909308 20628336 22347364 28363962 33521046 37818616 44694728 56727924 61455251 67042092 75637232 89389456 113455848 122910502 134084184 184365753 226911696 245821004 268168368 368731506 491642008 737463012 983284016 1474926024 2949852048