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2842088928 = 253731136429
BaseRepresentation
bin1010100101100110…
…1101010111100000
321100001220002001220
42221121231113200
521310033321203
61150003455040
7130300233360
oct25131552740
97301802056
102842088928
111229315528
12673987480
13363a75833
141cd65c9a0
151197a0653
hexa966d5e0

2842088928 has 96 divisors (see below), whose sum is σ = 8801372160. Its totient is φ = 785825280.

The previous prime is 2842088903. The next prime is 2842088933. The reversal of 2842088928 is 8298802482.

It is a happy number.

2842088928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47383 + ... + 89046.

It is an arithmetic number, because the mean of its divisors is an integer number (91680960).

Almost surely, 22842088928 is an apocalyptic number.

2842088928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2842088928 is an abundant number, since it is smaller than the sum of its proper divisors (5959283232).

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

2842088928 is a wasteful number, since it uses less digits than its factorization.

2842088928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136480 (or 136472 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 2842088928 is about 53311.2457929844. The cubic root of 2842088928 is about 1416.4868733367.

The spelling of 2842088928 in words is "two billion, eight hundred forty-two million, eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 136429 272858 409287 545716 818574 955003 1091432 1637148 1910006 2182864 2865009 3274296 3820012 4229299 4365728 5730018 6548592 7640024 8458598 11460036 12687897 13097184 15280048 16917196 22920072 25375794 29605093 30560096 33834392 45840144 50751588 59210186 67668784 88815279 91680288 101503176 118420372 135337568 177630558 203006352 236840744 355261116 406012704 473681488 710522232 947362976 1421044464 2842088928