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3782925 = 3252172343
BaseRepresentation
bin1110011011100100001101
321010012012100
432123210031
51432023200
6213025313
744103636
oct16334415
97105170
103782925
112154193
121325239
13a25b23
1470688d
154ead00
hex39b90d

3782925 has 72 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 1774080.

The previous prime is 3782921. The next prime is 3782927. The reversal of 3782925 is 5292873.

It is a happy number.

It is not a de Polignac number, because 3782925 - 22 = 3782921 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3782925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87954 + ... + 87996.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 23782925 is an apocalyptic number.

It is an amenable number.

3782925 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3782925 is a wasteful number, since it uses less digits than its factorization.

3782925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3782925 is about 1944.9742928892. The cubic root of 3782925 is about 155.8149927100.

The spelling of 3782925 in words is "three million, seven hundred eighty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 23 25 43 45 51 69 75 85 115 129 153 207 215 225 255 345 387 391 425 575 645 731 765 989 1035 1075 1173 1275 1725 1935 1955 2193 2967 3225 3519 3655 3825 4945 5175 5865 6579 8901 9675 9775 10965 14835 16813 17595 18275 24725 29325 32895 44505 50439 54825 74175 84065 87975 151317 164475 222525 252195 420325 756585 1260975 3782925