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4055792 = 2413173137
BaseRepresentation
bin1111011110001011110000
321122001111112
433132023300
52014241132
6222532452
746321316
oct17361360
97561445
104055792
1123201a4
121437128
13ac00a0
147780b6
15551ab2
hex3de2f0

4055792 has 80 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 1658880.

The previous prime is 4055791. The next prime is 4055801. The reversal of 4055792 is 2975504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109598 + ... + 109634.

Almost surely, 24055792 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 4055792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

4055792 is an abundant number, since it is smaller than the sum of its proper divisors (5443600).

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

4055792 is a wasteful number, since it uses less digits than its factorization.

4055792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 4055792 is about 2013.8996995878. The cubic root of 4055792 is about 159.4747358300.

The spelling of 4055792 in words is "four million, fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 37 52 62 68 74 104 124 136 148 208 221 248 272 296 403 442 481 496 527 592 629 806 884 962 1054 1147 1258 1612 1768 1924 2108 2294 2516 3224 3536 3848 4216 4588 5032 6448 6851 7696 8177 8432 9176 10064 13702 14911 16354 18352 19499 27404 29822 32708 38998 54808 59644 65416 77996 109616 119288 130832 155992 238576 253487 311984 506974 1013948 2027896 4055792