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4266792 = 2332193119
BaseRepresentation
bin10000010001101100101000
322000202221100
4100101230220
52043014132
6231241400
751160425
oct20215450
98022840
104266792
112454782
121519260
13b6513a
147d0d4c
1559437c
hex411b28

4266792 has 48 divisors (see below), whose sum is σ = 12168000. Its totient is φ = 1346976.

The previous prime is 4266733. The next prime is 4266797. The reversal of 4266792 is 2976624.

It is a happy number.

4266792 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 411 + 23 + 65 + 66 + 75 + 93 + 29 .

It is not an unprimeable number, because it can be changed into a prime (4266797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (253500).

Almost surely, 24266792 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 4266792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084000).

4266792 is an abundant number, since it is smaller than the sum of its proper divisors (7901208).

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

4266792 is a wasteful number, since it uses less digits than its factorization.

4266792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3143 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4266792 is about 2065.6214561240. The cubic root of 4266792 is about 162.1936413303.

It can be divided in two parts, 426679 and 2, that multiplied together give a palindrome (853358).

The spelling of 4266792 in words is "four million, two hundred sixty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3119 6238 9357 12476 18714 24952 28071 37428 56142 59261 74856 112284 118522 177783 224568 237044 355566 474088 533349 711132 1066698 1422264 2133396 4266792