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4028076 = 22331319151
BaseRepresentation
bin1111010111011010101100
321120122111000
433113122230
52012344301
6222200300
746144443
oct17273254
97518430
104028076
112301398
121423090
13ab05a0
1476bd5a
15548786
hex3d76ac

4028076 has 96 divisors (see below), whose sum is σ = 11916800. Its totient is φ = 1166400.

The previous prime is 4028069. The next prime is 4028077. The reversal of 4028076 is 6708204.

4028076 = T150 + T151 + ... + T301.

4028076 = 1432 + 1442 + ... + 2462.

4028076 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4028077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26601 + ... + 26751.

Almost surely, 24028076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958400).

4028076 is an abundant number, since it is smaller than the sum of its proper divisors (7888724).

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

4028076 is a wasteful number, since it uses less digits than its factorization.

4028076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4028076 is about 2007.0067264461. The cubic root of 4028076 is about 159.1106385526.

Subtracting from 4028076 its sum of digits (27), we obtain a square (4028049 = 20072).

The spelling of 4028076 in words is "four million, twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 151 156 171 228 234 247 302 342 351 453 468 494 513 604 684 702 741 906 988 1026 1359 1404 1482 1812 1963 2052 2223 2718 2869 2964 3926 4077 4446 5436 5738 5889 6669 7852 8154 8607 8892 11476 11778 13338 16308 17214 17667 23556 25821 26676 34428 35334 37297 51642 53001 70668 74594 77463 103284 106002 111891 149188 154926 212004 223782 309852 335673 447564 671346 1007019 1342692 2014038 4028076