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4292364 = 2231753397
BaseRepresentation
bin10000010111111100001100
322002002000110
4100113330030
52044323424
6232000020
751325116
oct20277414
98062013
104292364
112471a0a
121530010
13b7397b
147da3b6
1559bc29
hex417f0c

4292364 has 48 divisors (see below), whose sum is σ = 10831968. Its totient is φ = 1317888.

The previous prime is 4292363. The next prime is 4292383. The reversal of 4292364 is 4632924.

It is not an unprimeable number, because it can be changed into a prime (4292363) 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 15 ways as a sum of consecutive naturals, for example, 10614 + ... + 11010.

It is an arithmetic number, because the mean of its divisors is an integer number (225666).

Almost surely, 24292364 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 4292364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415984).

4292364 is an abundant number, since it is smaller than the sum of its proper divisors (6539604).

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

4292364 is a wasteful number, since it uses less digits than its factorization.

4292364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 4292364 is about 2071.8021141026. The cubic root of 4292364 is about 162.5170191248.

It can be divided in two parts, 4292 and 364, that added together give a triangular number (4656 = T96).

The spelling of 4292364 in words is "four million, two hundred ninety-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 397 636 794 901 1191 1588 1802 2382 2703 3604 4764 5406 6749 10812 13498 20247 21041 26996 40494 42082 63123 80988 84164 126246 252492 357697 715394 1073091 1430788 2146182 4292364