Search a number
-
+
4104792 = 2332471213
BaseRepresentation
bin1111101010001001011000
321201112201100
433222021120
52022323132
6223551400
746614216
oct17521130
97645640
104104792
112353a9a
12145b560
13b09493
1478bcb6
1556137c
hex3ea258

4104792 has 48 divisors (see below), whose sum is σ = 11363040. Its totient is φ = 1338048.

The previous prime is 4104791. The next prime is 4104799. The reversal of 4104792 is 2974014.

It is a happy number.

4104792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104791) 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 11 ways as a sum of consecutive naturals, for example, 2778 + ... + 3990.

It is an arithmetic number, because the mean of its divisors is an integer number (236730).

Almost surely, 24104792 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 4104792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681520).

4104792 is an abundant number, since it is smaller than the sum of its proper divisors (7258248).

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

4104792 is a wasteful number, since it uses less digits than its factorization.

4104792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4104792 is about 2026.0286276358. The cubic root of 4104792 is about 160.1143973550.

The spelling of 4104792 in words is "four million, one hundred four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1213 1692 2426 3384 3639 4852 7278 9704 10917 14556 21834 29112 43668 57011 87336 114022 171033 228044 342066 456088 513099 684132 1026198 1368264 2052396 4104792