Search a number
-
+
2808354864 = 243797199433
BaseRepresentation
bin1010011101100100…
…0001100000110000
321020201102012122010
42213121001200300
521222414323424
61142400442520
7126410423340
oct24731014060
97221365563
102808354864
111211274637
12664619440
13359a94053
141c8d9ad20
1511683a229
hexa7641830

2808354864 has 160 divisors (see below), whose sum is σ = 8438348800. Its totient is φ = 788299776.

The previous prime is 2808354863. The next prime is 2808354877. The reversal of 2808354864 is 4684538082.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2808354863) 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, 6485592 + ... + 6486024.

It is an arithmetic number, because the mean of its divisors is an integer number (52739680).

Almost surely, 22808354864 is an apocalyptic number.

2808354864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219174400).

2808354864 is an abundant number, since it is smaller than the sum of its proper divisors (5629993936).

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

2808354864 is a wasteful number, since it uses less digits than its factorization.

2808354864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2808354864 is about 52993.9134618307. The cubic root of 2808354864 is about 1410.8602406158.

The spelling of 2808354864 in words is "two billion, eight hundred eight million, three hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 199 291 336 388 398 433 582 597 679 776 796 866 1164 1194 1299 1358 1393 1552 1592 1732 2037 2328 2388 2598 2716 2786 3031 3184 3464 4074 4179 4656 4776 5196 5432 5572 6062 6928 8148 8358 9093 9552 10392 10864 11144 12124 16296 16716 18186 19303 20784 22288 24248 32592 33432 36372 38606 42001 48496 57909 66864 72744 77212 84002 86167 115818 126003 135121 145488 154424 168004 172334 231636 252006 258501 270242 294007 308848 336008 344668 405363 463272 504012 517002 540484 588014 603169 672016 689336 810726 882021 926544 1008024 1034004 1080968 1176028 1206338 1378672 1621452 1764042 1809507 2016048 2068008 2161936 2352056 2412676 3242904 3528084 3619014 4136016 4704112 4825352 6485808 7056168 7238028 8358199 9650704 14112336 14476056 16716398 25074597 28952112 33432796 50149194 58507393 66865592 100298388 117014786 133731184 175522179 200596776 234029572 351044358 401193552 468059144 702088716 936118288 1404177432 2808354864