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4055424 = 27359179
BaseRepresentation
bin1111011110000110000000
321122000222220
433132012000
52014233144
6222531040
746320252
oct17360600
97560886
104055424
11231a99a
121436a80
13abcb79
14777cd2
15551919
hex3de180

4055424 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1321472.

The previous prime is 4055423. The next prime is 4055431. The reversal of 4055424 is 4245504.

4055424 = T117 + T118 + ... + T295.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4055394 and 4055403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055423) 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, 22567 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 24055424 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 4055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4055424 is an abundant number, since it is smaller than the sum of its proper divisors (6960576).

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

4055424 is a wasteful number, since it uses less digits than its factorization.

4055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 4055424 is about 2013.8083324885. The cubic root of 4055424 is about 159.4699124007.

The spelling of 4055424 in words is "four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 179 192 236 354 358 384 472 537 708 716 944 1074 1416 1432 1888 2148 2832 2864 3776 4296 5664 5728 7552 8592 10561 11328 11456 17184 21122 22656 22912 31683 34368 42244 63366 68736 84488 126732 168976 253464 337952 506928 675904 1013856 1351808 2027712 4055424