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4834062880 = 2551717310273
BaseRepresentation
bin1001000000010000…
…11111001000100000
3110110220010211121221
410200020133020200
534400010003010
62115402424424
7230535566533
oct44010371040
913426124557
104834062880
11206077aa99
12b2ab02114
135c066c94a
1433c028a1a
151d45c9dda
hex12021f220

4834062880 has 96 divisors (see below), whose sum is σ = 12163347504. Its totient is φ = 1809186816.

The previous prime is 4834062869. The next prime is 4834062887. The reversal of 4834062880 is 882604384.

It can be written as a sum of positive squares in 8 ways, for example, as 3226694416 + 1607368464 = 56804^2 + 40092^2 .

It is not an unprimeable number, because it can be changed into a prime (4834062887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465424 + ... + 475696.

Almost surely, 24834062880 is an apocalyptic number.

4834062880 is a gapful number since it is divisible by the number (40) 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 4834062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081673752).

4834062880 is an abundant number, since it is smaller than the sum of its proper divisors (7329284624).

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

4834062880 is a wasteful number, since it uses less digits than its factorization.

4834062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 4834062880 is about 69527.4253802052. The cubic root of 4834062880 is about 1690.8461712644.

The spelling of 4834062880 in words is "four billion, eight hundred thirty-four million, sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 173 272 340 346 544 680 692 865 1360 1384 1730 2720 2768 2941 3460 5536 5882 6920 10273 11764 13840 14705 20546 23528 27680 29410 41092 47056 51365 58820 82184 94112 102730 117640 164368 174641 205460 235280 328736 349282 410920 470560 698564 821840 873205 1397128 1643680 1746410 1777229 2794256 3492820 3554458 5588512 6985640 7108916 8886145 13971280 14217832 17772290 27942560 28435664 30212893 35544580 56871328 60425786 71089160 120851572 142178320 151064465 241703144 284356640 302128930 483406288 604257860 966812576 1208515720 2417031440 4834062880