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4139136 = 27323593
BaseRepresentation
bin1111110010100010000000
321210021211100
433302202000
52024423021
6224414400
750116311
oct17624200
97707740
104139136
112377881
121477400
13b1bcc1
1479a608
1556b626
hex3f2880

4139136 has 48 divisors (see below), whose sum is σ = 11914110. Its totient is φ = 1379328.

The previous prime is 4139129. The next prime is 4139147. The reversal of 4139136 is 6319314.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 360000 = 1944^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645 + ... + 2948.

Almost surely, 24139136 is an apocalyptic number.

It is an amenable number.

4139136 is an abundant number, since it is smaller than the sum of its proper divisors (7774974).

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

4139136 is a wasteful number, since it uses less digits than its factorization.

4139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3598 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4139136 is about 2034.4866674422. The cubic root of 4139136 is about 160.5597064380.

The spelling of 4139136 in words is "four million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3593 7186 10779 14372 21558 28744 32337 43116 57488 64674 86232 114976 129348 172464 229952 258696 344928 459904 517392 689856 1034784 1379712 2069568 4139136