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4392192 = 28371943
BaseRepresentation
bin10000110000010100000000
322021010221210
4100300110000
52111022232
6234050120
752222140
oct20602400
98233853
104392192
11252aa12
121579940
13baa23c
14824920
155bb5cc
hex430500

4392192 has 144 divisors (see below), whose sum is σ = 14389760. Its totient is φ = 1161216.

The previous prime is 4392181. The next prime is 4392203. The reversal of 4392192 is 2912934.

It is an interprime number because it is at equal distance from previous prime (4392181) and next prime (4392203).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102123 + ... + 102165.

Almost surely, 24392192 is an apocalyptic number.

4392192 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 4392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194880).

4392192 is an abundant number, since it is smaller than the sum of its proper divisors (9997568).

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

4392192 is a wasteful number, since it uses less digits than its factorization.

4392192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 4392192 is about 2095.7557109549. The cubic root of 4392192 is about 163.7672685399.

It can be divided in two parts, 43 and 92192, that added together give a triangular number (92235 = T429).

The spelling of 4392192 in words is "four million, three hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 43 48 56 57 64 76 84 86 96 112 114 128 129 133 152 168 172 192 224 228 256 258 266 301 304 336 344 384 399 448 456 516 532 602 608 672 688 768 798 817 896 903 912 1032 1064 1204 1216 1344 1376 1596 1634 1792 1806 1824 2064 2128 2408 2432 2451 2688 2752 3192 3268 3612 3648 4128 4256 4816 4864 4902 5376 5504 5719 6384 6536 7224 7296 8256 8512 9632 9804 11008 11438 12768 13072 14448 14592 16512 17024 17157 19264 19608 22876 25536 26144 28896 33024 34048 34314 38528 39216 45752 51072 52288 57792 68628 77056 78432 91504 102144 104576 115584 137256 156864 183008 209152 231168 274512 313728 366016 549024 627456 732032 1098048 1464064 2196096 4392192