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4238976 = 27371983
BaseRepresentation
bin10000001010111010000000
321222100210010
4100022322000
52041121401
6230504520
751013350
oct20127200
97870703
104238976
112435895
121505140
13b55591
147c4b60
1558aed6
hex40ae80

4238976 has 128 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1133568.

The previous prime is 4238963. The next prime is 4238989. The reversal of 4238976 is 6798324.

It is an interprime number because it is at equal distance from previous prime (4238963) and next prime (4238989).

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (72576) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51031 + ... + 51113.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 24238976 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 4238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4238976 is an abundant number, since it is smaller than the sum of its proper divisors (9469824).

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

4238976 is a wasteful number, since it uses less digits than its factorization.

4238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4238976 is about 2058.8773640020. The cubic root of 4238976 is about 161.8404159308.

The spelling of 4238976 in words is "four million, two hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 83 84 96 112 114 128 133 152 166 168 192 224 228 249 266 304 332 336 384 399 448 456 498 532 581 608 664 672 798 896 912 996 1064 1162 1216 1328 1344 1577 1596 1743 1824 1992 2128 2324 2432 2656 2688 3154 3192 3486 3648 3984 4256 4648 4731 5312 6308 6384 6972 7296 7968 8512 9296 9462 10624 11039 12616 12768 13944 15936 17024 18592 18924 22078 25232 25536 27888 31872 33117 37184 37848 44156 50464 51072 55776 66234 74368 75696 88312 100928 111552 132468 151392 176624 201856 223104 264936 302784 353248 529872 605568 706496 1059744 1412992 2119488 4238976