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4123938 = 237213283
BaseRepresentation
bin1111101110110100100010
321202111222110
433232310202
52023431223
6224220150
750024100
oct17566442
97674873
104123938
112367415
12146a656
13b15100
14794c70
15566d93
hex3eed22

4123938 has 72 divisors (see below), whose sum is σ = 10514448. Its totient is φ = 1074528.

The previous prime is 4123927. The next prime is 4123943. The reversal of 4123938 is 8393214.

Its product of digits (5184) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 49645 + ... + 49727.

It is an arithmetic number, because the mean of its divisors is an integer number (146034).

Almost surely, 24123938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257224).

4123938 is an abundant number, since it is smaller than the sum of its proper divisors (6390510).

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

4123938 is a wasteful number, since it uses less digits than its factorization.

4123938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 4123938 is about 2030.7481380023. The cubic root of 4123938 is about 160.3629520803.

The spelling of 4123938 in words is "four million, one hundred twenty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 83 91 98 147 166 169 182 249 273 294 338 498 507 546 581 637 1014 1079 1162 1183 1274 1743 1911 2158 2366 3237 3486 3549 3822 4067 6474 7098 7553 8134 8281 12201 14027 15106 16562 22659 24402 24843 28054 42081 45318 49686 52871 84162 98189 105742 158613 196378 294567 317226 589134 687323 1374646 2061969 4123938