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2461056 = 273131729
BaseRepresentation
bin1001011000110110000000
311122000221020
421120312000
51112223211
6124425440
726630043
oct11306600
94560836
102461056
111431034
129a8280
13682260
14480c5a
15339306
hex258d80

2461056 has 128 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 688128.

The previous prime is 2461037. The next prime is 2461091. The reversal of 2461056 is 6501642.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84850 + ... + 84878.

22461056 is an apocalyptic number.

2461056 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 2461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2461056 is an abundant number, since it is smaller than the sum of its proper divisors (5250144).

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

2461056 is a wasteful number, since it uses less digits than its factorization.

2461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2461056 is about 1568.7753185208. The cubic root of 2461056 is about 135.0124542694.

Adding to 2461056 its reverse (6501642), we get a palindrome (8962698).

The spelling of 2461056 in words is "two million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 29 32 34 39 48 51 52 58 64 68 78 87 96 102 104 116 128 136 156 174 192 204 208 221 232 272 312 348 377 384 408 416 442 464 493 544 624 663 696 754 816 832 884 928 986 1088 1131 1248 1326 1392 1479 1508 1632 1664 1768 1856 1972 2176 2262 2496 2652 2784 2958 3016 3264 3536 3712 3944 4524 4992 5304 5568 5916 6032 6409 6528 7072 7888 9048 10608 11136 11832 12064 12818 14144 15776 18096 19227 21216 23664 24128 25636 28288 31552 36192 38454 42432 47328 48256 51272 63104 72384 76908 84864 94656 102544 144768 153816 189312 205088 307632 410176 615264 820352 1230528 2461056