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4107272 = 231373541
BaseRepresentation
bin1111101010110000001000
321201200010012
433222300020
52022413042
6224011052
746624361
oct17526010
97650105
104107272
112355944
121460a88
13b0a650
1478cb68
15561e82
hex3eac08

4107272 has 32 divisors (see below), whose sum is σ = 8422680. Its totient is φ = 1866240.

The previous prime is 4107263. The next prime is 4107281. The reversal of 4107272 is 2727014.

It is an interprime number because it is at equal distance from previous prime (4107263) and next prime (4107281).

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 1331716 = 1666^2 + 1154^2 .

It is a super-3 number, since 3×41072723 (a number of 21 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a cake number, because a cake can be divided into 4107272 parts by 291 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7322 + ... + 7862.

Almost surely, 24107272 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 4107272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211340).

4107272 is an abundant number, since it is smaller than the sum of its proper divisors (4315408).

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

4107272 is a wasteful number, since it uses less digits than its factorization.

4107272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 4107272 is about 2026.6405700074. The cubic root of 4107272 is about 160.1466364033.

The spelling of 4107272 in words is "four million, one hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 541 584 949 1082 1898 2164 3796 4328 7033 7592 14066 28132 39493 56264 78986 157972 315944 513409 1026818 2053636 4107272