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4019004 = 22331117199
BaseRepresentation
bin1111010101001100111100
321120012001000
433111030330
52012102004
6222050300
746106133
oct17251474
97505030
104019004
1122a55a0
121419990
13aa9412
1476891a
15545c39
hex3d533c

4019004 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1140480.

The previous prime is 4019003. The next prime is 4019009. The reversal of 4019004 is 4009104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019003) 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, 20097 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 24019004 is an apocalyptic number.

4019004 is a gapful number since it is divisible by the number (44) 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 4019004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4019004 is an abundant number, since it is smaller than the sum of its proper divisors (8076996).

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

4019004 is a wasteful number, since it uses less digits than its factorization.

4019004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4019004 is about 2004.7453703650. The cubic root of 4019004 is about 158.9910995374.

It can be divided in two parts, 40 and 19004, that added together give a square (19044 = 1382).

The spelling of 4019004 in words is "four million, nineteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 199 204 297 306 374 396 398 459 561 594 597 612 748 796 918 1122 1188 1194 1683 1791 1836 2189 2244 2388 3366 3383 3582 4378 5049 5373 6567 6732 6766 7164 8756 10098 10149 10746 13134 13532 19701 20196 20298 21492 26268 30447 37213 39402 40596 59103 60894 74426 78804 91341 111639 118206 121788 148852 182682 223278 236412 334917 365364 446556 669834 1004751 1339668 2009502 4019004