Search a number
-
+
56237328 = 243476199
BaseRepresentation
bin1101011010000…
…1110100010000
310220211011010000
43112201310100
5103344043303
65325210000
71252003140
oct326416420
9126734100
1056237328
1129820a34
1216a00900
13b860434
14767c920
154e0cda3
hex35a1d10

56237328 has 100 divisors (see below), whose sum is σ = 186049600. Its totient is φ = 16065216.

The previous prime is 56237327. The next prime is 56237329. The reversal of 56237328 is 82373265.

56237328 is a `hidden beast` number, since 5 + 623 + 7 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (56237327) and next prime (56237329).

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

It is a junction number, because it is equal to n+sod(n) for n = 56237292 and 56237301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56237327) by changing a digit.

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, 5973 + ... + 12171.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 256237328 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 56237328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024800).

56237328 is an abundant number, since it is smaller than the sum of its proper divisors (129812272).

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

56237328 is a wasteful number, since it uses less digits than its factorization.

56237328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6211 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56237328 is about 7499.1551524155. The cubic root of 56237328 is about 383.1259416711.

It can be divided in two parts, 56237 and 328, that added together give a palindrome (56565).

The spelling of 56237328 in words is "fifty-six million, two hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 6199 9072 12398 18597 24796 37194 43393 49592 55791 74388 86786 99184 111582 130179 148776 167373 173572 223164 260358 297552 334746 347144 390537 446328 502119 520716 669492 694288 781074 892656 1004238 1041432 1171611 1338984 1562148 2008476 2082864 2343222 2677968 3124296 3514833 4016952 4686444 6248592 7029666 8033904 9372888 14059332 18745776 28118664 56237328