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2020829625 = 32534738219
BaseRepresentation
bin111100001110011…
…0110100110111001
312012211112210002200
41320130312212321
513114313022000
6532305220413
7101035524363
oct17034664671
95184483080
102020829625
11947784231
12484931709
1326288b299
1415255bd33
15bc629500
hex787369b9

2020829625 has 48 divisors (see below), whose sum is σ = 3720487680. Its totient is φ = 1054816800.

The previous prime is 2020829623. The next prime is 2020829641. The reversal of 2020829625 is 5269280202.

2020829625 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 8 + 29 + 625 = 666.

It is not a de Polignac number, because 2020829625 - 21 = 2020829623 is a prime.

It is a super-3 number, since 3×20208296253 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2020829625.

It is not an unprimeable number, because it can be changed into a prime (2020829623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33766 + ... + 71984.

It is an arithmetic number, because the mean of its divisors is an integer number (77510160).

Almost surely, 22020829625 is an apocalyptic number.

2020829625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2020829625 is a deficient number, since it is larger than the sum of its proper divisors (1699658055).

2020829625 is a wasteful number, since it uses less digits than its factorization.

2020829625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38287 (or 38274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2020829625 is about 44953.6386180251. The cubic root of 2020829625 is about 1264.2798997010.

The spelling of 2020829625 in words is "two billion, twenty million, eight hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 125 141 225 235 375 423 705 1125 1175 2115 3525 5875 10575 17625 38219 52875 114657 191095 343971 573285 955475 1719855 1796293 2866425 4777375 5388879 8599275 8981465 14332125 16166637 26944395 42996375 44907325 80833185 134721975 224536625 404165925 673609875 2020829625