Search a number
-
+
4052928 = 2631119101
BaseRepresentation
bin1111011101011111000000
321121220120110
433131133000
52014143203
6222511320
746310055
oct17353700
97556513
104052928
112319030
121435540
13abb9a9
1477702c
15550d03
hex3dd7c0

4052928 has 112 divisors (see below), whose sum is σ = 12435840. Its totient is φ = 1152000.

The previous prime is 4052927. The next prime is 4052929. The reversal of 4052928 is 8292504.

4052928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4052927) and next prime (4052929).

It is a junction number, because it is equal to n+sod(n) for n = 4052895 and 4052904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052921) 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 15 ways as a sum of consecutive naturals, for example, 40078 + ... + 40178.

Almost surely, 24052928 is an apocalyptic number.

4052928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920).

4052928 is an abundant number, since it is smaller than the sum of its proper divisors (8382912).

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

4052928 is a wasteful number, since it uses less digits than its factorization.

4052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4052928 is about 2013.1885157630. The cubic root of 4052928 is about 159.4371892634.

It can be divided in two parts, 405 and 2928, that added together give a palindrome (3333).

The spelling of 4052928 in words is "four million, fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 101 114 132 152 176 192 202 209 228 264 303 304 352 404 418 456 528 606 608 627 704 808 836 912 1056 1111 1212 1216 1254 1616 1672 1824 1919 2112 2222 2424 2508 3232 3333 3344 3648 3838 4444 4848 5016 5757 6464 6666 6688 7676 8888 9696 10032 11514 13332 13376 15352 17776 19392 20064 21109 23028 26664 30704 35552 40128 42218 46056 53328 61408 63327 71104 84436 92112 106656 122816 126654 168872 184224 213312 253308 337744 368448 506616 675488 1013232 1350976 2026464 4052928