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4123392 = 28371359
BaseRepresentation
bin1111101110101100000000
321202111020020
433232230000
52023422032
6224213440
750022360
oct17565400
97674206
104123392
112366a69
12146a280
13b14aa0
147949a0
15566b2c
hex3eeb00

4123392 has 144 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1069056.

The previous prime is 4123387. The next prime is 4123421. The reversal of 4123392 is 2933214.

4123392 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69859 + ... + 69917.

Almost surely, 24123392 is an apocalyptic number.

4123392 is a gapful number since it is divisible by the number (42) 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 4123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

4123392 is an abundant number, since it is smaller than the sum of its proper divisors (9612288).

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

4123392 is a wasteful number, since it uses less digits than its factorization.

4123392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 4123392 is about 2030.6137003379. The cubic root of 4123392 is about 160.3558745380.

The spelling of 4123392 in words is "four million, one hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 59 64 78 84 91 96 104 112 118 128 156 168 177 182 192 208 224 236 256 273 312 336 354 364 384 413 416 448 472 546 624 672 708 728 767 768 826 832 896 944 1092 1239 1248 1344 1416 1456 1534 1652 1664 1792 1888 2184 2301 2478 2496 2688 2832 2912 3068 3304 3328 3776 4368 4602 4956 4992 5369 5376 5664 5824 6136 6608 7552 8736 9204 9912 9984 10738 11328 11648 12272 13216 15104 16107 17472 18408 19824 21476 22656 23296 24544 26432 32214 34944 36816 39648 42952 45312 49088 52864 64428 69888 73632 79296 85904 98176 105728 128856 147264 158592 171808 196352 257712 294528 317184 343616 515424 589056 687232 1030848 1374464 2061696 4123392