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2858790540 = 2235193676833
BaseRepresentation
bin1010101001100101…
…1010111010001100
321101020022121101010
42222121122322030
521323322244130
61151401445220
7130562214204
oct25231327214
97336277333
102858790540
111237792711
126794a0810
13367372848
141d1969404
1511ae9e0b0
hexaa65ae8c

2858790540 has 96 divisors (see below), whose sum is σ = 8450104320. Its totient is φ = 720147456.

The previous prime is 2858790511. The next prime is 2858790547. The reversal of 2858790540 is 450978582.

2858790540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2858790540.

It is not an unprimeable number, because it can be changed into a prime (2858790547) 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, 414964 + ... + 421796.

It is an arithmetic number, because the mean of its divisors is an integer number (88021920).

Almost surely, 22858790540 is an apocalyptic number.

2858790540 is a gapful number since it is divisible by the number (20) 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 2858790540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225052160).

2858790540 is an abundant number, since it is smaller than the sum of its proper divisors (5591313780).

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

2858790540 is a wasteful number, since it uses less digits than its factorization.

2858790540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2858790540 is about 53467.6588228810. The cubic root of 2858790540 is about 1419.2561302608.

The spelling of 2858790540 in words is "two billion, eight hundred fifty-eight million, seven hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 367 380 570 734 1101 1140 1468 1835 2202 3670 4404 5505 6833 6973 7340 11010 13666 13946 20499 20919 22020 27332 27892 34165 34865 40998 41838 68330 69730 81996 83676 102495 104595 129827 136660 139460 204990 209190 259654 389481 409980 418380 519308 649135 778962 1298270 1557924 1947405 2507711 2596540 3894810 5015422 7523133 7789620 10030844 12538555 15046266 25077110 30092532 37615665 47646509 50154220 75231330 95293018 142939527 150462660 190586036 238232545 285879054 476465090 571758108 714697635 952930180 1429395270 2858790540