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4290210048 = 2837097879
BaseRepresentation
bin1111111110110111…
…0110100100000000
3102001222210020210110
43333231312210000
532241243210143
61545414031320
7211213120005
oct37755664400
912058706713
104290210048
111901791343
129b8948540
13534aa2437
142c9ad98ac
151a199d533
hexffb76900

4290210048 has 72 divisors (see below), whose sum is σ = 11435771200. Its totient is φ = 1427871744.

The previous prime is 4290210031. The next prime is 4290210053. The reversal of 4290210048 is 8400120924.

It is a junction number, because it is equal to n+sod(n) for n = 4290209997 and 4290210024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540573 + ... + 548451.

Almost surely, 24290210048 is an apocalyptic number.

4290210048 is a gapful number since it is divisible by the number (48) 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 4290210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717885600).

4290210048 is an abundant number, since it is smaller than the sum of its proper divisors (7145561152).

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

4290210048 is an equidigital number, since it uses as much as digits as its factorization.

4290210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4290210048 is about 65499.6950221908. The cubic root of 4290210048 is about 1624.8983034424.

The spelling of 4290210048 in words is "four billion, two hundred ninety million, two hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 709 768 1418 2127 2836 4254 5672 7879 8508 11344 15758 17016 22688 23637 31516 34032 45376 47274 63032 68064 90752 94548 126064 136128 181504 189096 252128 272256 378192 504256 544512 756384 1008512 1512768 2017024 3025536 5586211 6051072 11172422 16758633 22344844 33517266 44689688 67034532 89379376 134069064 178758752 268138128 357517504 536276256 715035008 1072552512 1430070016 2145105024 4290210048