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2428668984 = 233734334211
BaseRepresentation
bin1001000011000010…
…1000110000111000
320021020222011112010
42100300220300320
514433214401414
61040554445520
7114120226410
oct22060506070
96236864463
102428668984
111036a13a55
125794338a0
132c9215b51
141907a3640
15e333a959
hex90c28c38

2428668984 has 64 divisors (see below), whose sum is σ = 6942723840. Its totient is φ = 693538560.

The previous prime is 2428668973. The next prime is 2428669027. The reversal of 2428668984 is 4898668242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574639 + ... + 578849.

It is an arithmetic number, because the mean of its divisors is an integer number (108480060).

Almost surely, 22428668984 is an apocalyptic number.

2428668984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428668984 is an abundant number, since it is smaller than the sum of its proper divisors (4514054856).

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

2428668984 is a wasteful number, since it uses less digits than its factorization.

2428668984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7656 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 2428668984 is about 49281.5278172258. The cubic root of 2428668984 is about 1344.1759132340.

The spelling of 2428668984 in words is "two billion, four hundred twenty-eight million, six hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3433 4211 6866 8422 10299 12633 13732 16844 20598 24031 25266 27464 29477 33688 41196 48062 50532 58954 72093 82392 88431 96124 101064 117908 144186 176862 192248 235816 288372 353724 576744 707448 14456363 28912726 43369089 57825452 86738178 101194541 115650904 173476356 202389082 303583623 346952712 404778164 607167246 809556328 1214334492 2428668984