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3828978 = 233174397
BaseRepresentation
bin1110100110110011110010
321012112101000
432212303302
51440011403
6214022430
744355126
oct16466362
97175330
103828978
11218584a
121347a16
13a40a8a
14719586
155097a3
hex3a6cf2

3828978 has 64 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1161216.

The previous prime is 3828973. The next prime is 3829079. The reversal of 3828978 is 8798283.

It is a super-2 number, since 2×38289782 = 29322145048968, which contains 22 as substring.

Its product of digits (193536) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (3828973) by changing a digit.

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, 39426 + ... + 39522.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 23828978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3828978 is an abundant number, since it is smaller than the sum of its proper divisors (5484942).

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

3828978 is a wasteful number, since it uses less digits than its factorization.

3828978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3828978 is about 1956.7774528546. Note that the first 3 decimals coincide. The cubic root of 3828978 is about 156.4447368223. Note that the first 3 decimals are identical.

The spelling of 3828978 in words is "three million, eight hundred twenty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 97 102 129 153 194 258 291 306 387 459 582 731 774 873 918 1161 1462 1649 1746 2193 2322 2619 3298 4171 4386 4947 5238 6579 8342 9894 12513 13158 14841 19737 25026 29682 37539 39474 44523 70907 75078 89046 112617 141814 212721 225234 425442 638163 1276326 1914489 3828978