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2978325 = 325273161
BaseRepresentation
bin1011010111001000010101
312121022111100
423113020111
51230301300
6143500313
734213110
oct13271025
95538440
102978325
111754729
12bb7699
1380382c
14577577
153dc700
hex2d7215

2978325 has 72 divisors (see below), whose sum is σ = 6396416. Its totient is φ = 1296000.

The previous prime is 2978323. The next prime is 2978357. The reversal of 2978325 is 5238792.

It is a happy number.

2978325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2978325 - 21 = 2978323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2978325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48795 + ... + 48855.

22978325 is an apocalyptic number.

2978325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2978325 is an abundant number, since it is smaller than the sum of its proper divisors (3418091).

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

2978325 is a wasteful number, since it uses less digits than its factorization.

2978325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

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

The square root of 2978325 is about 1725.7824312468. The cubic root of 2978325 is about 143.8767753705.

The spelling of 2978325 in words is "two million, nine hundred seventy-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 61 63 75 93 105 155 175 183 217 225 279 305 315 427 465 525 549 651 775 915 1085 1281 1395 1525 1575 1891 1953 2135 2325 2745 3255 3843 4575 5425 5673 6405 6975 9455 9765 10675 13237 13725 16275 17019 19215 28365 32025 39711 47275 48825 66185 85095 96075 119133 141825 198555 330925 425475 595665 992775 2978325