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4372264 = 2313172473
BaseRepresentation
bin10000101011011100101000
322020010121201
4100223130220
52104403024
6233413544
752110061
oct20533450
98203551
104372264
112516a46
12156a2b4
13ba1150
1481b568
155b5744
hex42b728

4372264 has 32 divisors (see below), whose sum is σ = 9351720. Its totient is φ = 1898496.

The previous prime is 4372259. The next prime is 4372267. The reversal of 4372264 is 4622734.

It can be written as a sum of positive squares in 4 ways, for example, as 3960100 + 412164 = 1990^2 + 642^2 .

It is a d-powerful number, because it can be written as 44 + 311 + 7 + 25 + 29 + 6 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4372267) 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, 532 + ... + 3004.

Almost surely, 24372264 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 4372264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675860).

4372264 is an abundant number, since it is smaller than the sum of its proper divisors (4979456).

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

4372264 is a wasteful number, since it uses less digits than its factorization.

4372264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 4372264 is about 2090.9959349554. The cubic root of 4372264 is about 163.5192145430.

Adding to 4372264 its reverse (4622734), we get a palindrome (8994998).

It can be divided in two parts, 437 and 2264, that added together give a triangular number (2701 = T73).

The spelling of 4372264 in words is "four million, three hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2473 4946 9892 19784 32149 42041 64298 84082 128596 168164 257192 336328 546533 1093066 2186132 4372264