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2948088906 = 233719601683
BaseRepresentation
bin1010111110111000…
…0100010001001010
321121110100102201000
42233232010101022
522014202321111
61204311435430
7133025225250
oct25756042112
97543312630
102948088906
111283134914
126a3385b76
1337ca0a309
141dd7725d0
15123c3cc56
hexafb8444a

2948088906 has 128 divisors (see below), whose sum is σ = 7905945600. Its totient is φ = 795484800.

The previous prime is 2948088863. The next prime is 2948088919. The reversal of 2948088906 is 6098808492.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4316041 + ... + 4316723.

It is an arithmetic number, because the mean of its divisors is an integer number (61765200).

Almost surely, 22948088906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948088906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952972800).

2948088906 is an abundant number, since it is smaller than the sum of its proper divisors (4957856694).

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

2948088906 is a wasteful number, since it uses less digits than its factorization.

2948088906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2948088906 is about 54296.3065594705. The cubic root of 2948088906 is about 1433.8823716123.

The spelling of 2948088906 in words is "two billion, nine hundred forty-eight million, eighty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 601 683 798 1026 1197 1202 1366 1803 2049 2394 3591 3606 4098 4207 4781 5409 6147 7182 8414 9562 10818 11419 12294 12621 12977 14343 16227 18441 22838 25242 25954 28686 32454 34257 36882 37863 38931 43029 68514 75726 77862 79933 86058 90839 102771 113589 116793 129087 159866 181678 205542 227178 233586 239799 258174 272517 308313 350379 410483 479598 545034 616626 700758 719397 817551 820966 1231449 1438794 1635102 2158191 2452653 2462898 2873381 3694347 4316382 4905306 5746762 7388694 7799177 8620143 11083041 15598354 17240286 22166082 23397531 25860429 46795062 51720858 54594239 70192593 77581287 109188478 140385186 155162574 163782717 210577779 327565434 421155558 491348151 982696302 1474044453 2948088906