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2055456 = 25341361
BaseRepresentation
bin111110101110100100000
310212102120000
413311310200
51011233311
6112020000
723320404
oct7656440
93772500
102055456
111184327
12831600
1356c760
143b7104
152a9056
hex1f5d20

2055456 has 120 divisors (see below), whose sum is σ = 6616764. Its totient is φ = 622080.

The previous prime is 2055437. The next prime is 2055467. The reversal of 2055456 is 6545502.

2055456 is a `hidden beast` number, since 205 + 5 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 467856 = 1260^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 33666 + ... + 33726.

22055456 is an apocalyptic number.

2055456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308382).

2055456 is an abundant number, since it is smaller than the sum of its proper divisors (4561308).

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

2055456 is a wasteful number, since it uses less digits than its factorization.

2055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2055456 is about 1433.6861581253. The cubic root of 2055456 is about 127.1460077011.

The spelling of 2055456 in words is "two million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 72 78 81 96 104 108 117 122 144 156 162 183 208 216 234 244 288 312 324 351 366 416 432 468 488 549 624 648 702 732 793 864 936 976 1053 1098 1248 1296 1404 1464 1586 1647 1872 1952 2106 2196 2379 2592 2808 2928 3172 3294 3744 4212 4392 4758 4941 5616 5856 6344 6588 7137 8424 8784 9516 9882 11232 12688 13176 14274 16848 17568 19032 19764 21411 25376 26352 28548 33696 38064 39528 42822 52704 57096 64233 76128 79056 85644 114192 128466 158112 171288 228384 256932 342576 513864 685152 1027728 2055456