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3625830 = 2335131033
BaseRepresentation
bin1101110101001101100110
320211012201000
431311031212
51412011310
6205414130
742550635
oct15651546
96735630
103625830
11205715a
12126a346
1399c480
146a551c
154b94c0
hex375366

3625830 has 64 divisors (see below), whose sum is σ = 10422720. Its totient is φ = 891648.

The previous prime is 3625829. The next prime is 3625849. The reversal of 3625830 is 385263.

3625830 is a `hidden beast` number, since 3 + 625 + 8 + 30 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3625794 and 3625803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2994 + ... + 4026.

It is an arithmetic number, because the mean of its divisors is an integer number (162855).

Almost surely, 23625830 is an apocalyptic number.

3625830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211360).

3625830 is an abundant number, since it is smaller than the sum of its proper divisors (6796890).

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

3625830 is a wasteful number, since it uses less digits than its factorization.

3625830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3625830 is about 1904.1612326691. The cubic root of 3625830 is about 153.6275646331.

The spelling of 3625830 in words is "three million, six hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1033 1170 1755 2066 3099 3510 5165 6198 9297 10330 13429 15495 18594 26858 27891 30990 40287 46485 55782 67145 80574 92970 120861 134290 139455 201435 241722 278910 362583 402870 604305 725166 1208610 1812915 3625830