Search a number
-
+
56042496 = 210332027
BaseRepresentation
bin1101010111001…
…0010000000000
310220110020212000
43111302100000
5103321324441
65321104000
71250232126
oct325622000
9126406760
1056042496
11296a8614
1216928000
13b7c2853
14762b916
154dc02b6
hex3572400

56042496 has 88 divisors (see below), whose sum is σ = 166052640. Its totient is φ = 18671616.

The previous prime is 56042491. The next prime is 56042537. The reversal of 56042496 is 69424065.

56042496 is a `hidden beast` number, since 5 + 604 + 2 + 49 + 6 = 666.

It is a super-2 number, since 2×560424962 = 6281522715820032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56042496.

It is not an unprimeable number, because it can be changed into a prime (56042491) 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, 26635 + ... + 28661.

Almost surely, 256042496 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 56042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026320).

56042496 is an abundant number, since it is smaller than the sum of its proper divisors (110010144).

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

56042496 is a wasteful number, since it uses less digits than its factorization.

56042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56042496 is about 7486.1536185147. The cubic root of 56042496 is about 382.6829881845.

It can be divided in two parts, 5604 and 2496, that added together give a square (8100 = 902).

The spelling of 56042496 in words is "fifty-six million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2027 2304 3072 3456 4054 4608 6081 6912 8108 9216 12162 13824 16216 18243 24324 27648 32432 36486 48648 54729 64864 72972 97296 109458 129728 145944 194592 218916 259456 291888 389184 437832 518912 583776 778368 875664 1037824 1167552 1556736 1751328 2075648 2335104 3113472 3502656 4670208 6226944 7005312 9340416 14010624 18680832 28021248 56042496