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4026930880 = 265710916493
BaseRepresentation
bin1111000000000110…
…0001011011000000
3101101122101021200011
43300001201123000
531221343242010
61503331034304
7201535230160
oct36001413300
911348337604
104026930880
111787108855
1294473b994
134c239074b
142a2b645a0
151887e4a8a
hexf00616c0

4026930880 has 112 divisors (see below), whose sum is σ = 11060216640. Its totient is φ = 1367912448.

The previous prime is 4026930857. The next prime is 4026930881. The reversal of 4026930880 is 880396204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4026930881) by changing a digit.

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, 235914 + ... + 252406.

Almost surely, 24026930880 is an apocalyptic number.

4026930880 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 4026930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530108320).

4026930880 is an abundant number, since it is smaller than the sum of its proper divisors (7033285760).

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

4026930880 is a wasteful number, since it uses less digits than its factorization.

4026930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16626 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 4026930880 is about 63458.1033438599. The cubic root of 4026930880 is about 1590.9555955514.

The spelling of 4026930880 in words is "four billion, twenty-six million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 140 160 218 224 280 320 436 448 545 560 763 872 1090 1120 1526 1744 2180 2240 3052 3488 3815 4360 6104 6976 7630 8720 12208 15260 16493 17440 24416 30520 32986 34880 48832 61040 65972 82465 115451 122080 131944 164930 230902 244160 263888 329860 461804 527776 577255 659720 923608 1055552 1154510 1319440 1797737 1847216 2309020 2638880 3595474 3694432 4618040 5277760 7190948 7388864 8988685 9236080 12584159 14381896 17977370 18472160 25168318 28763792 35954740 36944320 50336636 57527584 62920795 71909480 100673272 115055168 125841590 143818960 201346544 251683180 287637920 402693088 503366360 575275840 805386176 1006732720 2013465440 4026930880