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4125312 = 27323581
BaseRepresentation
bin1111101111001010000000
321202120212100
433233022000
52024002222
6224230400
750031102
oct17571200
97676770
104125312
112368454
12146b400
13b15919
14795572
155674ac
hex3ef280

4125312 has 48 divisors (see below), whose sum is σ = 11874330. Its totient is φ = 1374720.

The previous prime is 4125311. The next prime is 4125343. The reversal of 4125312 is 2135214.

4125312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 1382976 = 1656^2 + 1176^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4125311) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 639 + ... + 2942.

Almost surely, 24125312 is an apocalyptic number.

It is an amenable number.

4125312 is an abundant number, since it is smaller than the sum of its proper divisors (7749018).

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

4125312 is a wasteful number, since it uses less digits than its factorization.

4125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3586 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4125312 is about 2031.0864087970. The cubic root of 4125312 is about 160.3807598351.

It can be divided in two parts, 4 and 125312, that added together give a square (125316 = 3542).

The spelling of 4125312 in words is "four million, one hundred twenty-five thousand, three hundred twelve".

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 3581 7162 10743 14324 21486 28648 32229 42972 57296 64458 85944 114592 128916 171888 229184 257832 343776 458368 515664 687552 1031328 1375104 2062656 4125312