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4286672 = 241337557
BaseRepresentation
bin10000010110100011010000
322001210012122
4100112203100
52044133142
6231513412
751302405
oct20264320
98053178
104286672
112468705
121528868
13b711c0
147d82ac
1559a1d2
hex4168d0

4286672 has 40 divisors (see below), whose sum is σ = 9202536. Its totient is φ = 1921536.

The previous prime is 4286663. The next prime is 4286677. The reversal of 4286672 is 2766824.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 4145296 = 376^2 + 2036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7418 + ... + 7974.

Almost surely, 24286672 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 4286672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601268).

4286672 is an abundant number, since it is smaller than the sum of its proper divisors (4915864).

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

4286672 is a wasteful number, since it uses less digits than its factorization.

4286672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 4286672 is about 2070.4279750815. The cubic root of 4286672 is about 162.4451507194.

The spelling of 4286672 in words is "four million, two hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 557 592 962 1114 1924 2228 3848 4456 7241 7696 8912 14482 20609 28964 41218 57928 82436 115856 164872 267917 329744 535834 1071668 2143336 4286672