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2745950984 = 237319311699
BaseRepresentation
bin1010001110101011…
…1110001100001000
321002100222202121022
42203222332030020
521110430412414
61132251132012
7125022125000
oct24352761410
97070882538
102745950984
11118a021687
12647744008
13349b84b8a
141c0995000
1511111018e
hexa3abe308

2745950984 has 128 divisors (see below), whose sum is σ = 6528000000. Its totient is φ = 1078297920.

The previous prime is 2745950939. The next prime is 2745950989. The reversal of 2745950984 is 4890595472.

It is not an unprimeable number, because it can be changed into a prime (2745950989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615367 + ... + 1617065.

It is an arithmetic number, because the mean of its divisors is an integer number (51000000).

Almost surely, 22745950984 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 2745950984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264000000).

2745950984 is an abundant number, since it is smaller than the sum of its proper divisors (3782049016).

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

2745950984 is a wasteful number, since it uses less digits than its factorization.

2745950984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The square root of 2745950984 is about 52401.8223347242. The cubic root of 2745950984 is about 1400.3317213944.

The spelling of 2745950984 in words is "two billion, seven hundred forty-five million, nine hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 343 392 434 532 589 686 868 931 1064 1178 1372 1519 1699 1736 1862 2356 2744 3038 3398 3724 4123 4712 6076 6517 6796 7448 8246 10633 11893 12152 13034 13592 16492 21266 23786 26068 28861 32281 32984 42532 47572 52136 52669 57722 64562 83251 85064 95144 105338 115444 129124 166502 202027 210676 225967 230888 258248 333004 368683 404054 421352 451934 582757 666008 737366 808108 903868 1000711 1165514 1474732 1581769 1616216 1807736 2001422 2331028 2580781 2949464 3163538 4002844 4662056 5161562 6327076 7004977 8005688 10323124 11072383 12654152 14009954 18065467 20646248 22144766 28019908 36130934 44289532 49034839 56039816 72261868 88579064 98069678 144523736 196139356 343243873 392278712 686487746 1372975492 2745950984