Search a number
-
+
51603804 = 2234761373
BaseRepresentation
bin1100010011011…
…0100101011100
310121002202010000
43010312211130
5101202310204
65042014300
71164424260
oct304664534
9117082100
1051603804
112714677a
1215347390
13a8ca3c5
146bd40a0
1547e5039
hex313695c

51603804 has 120 divisors (see below), whose sum is σ = 157121888. Its totient is φ = 14463360.

The previous prime is 51603803. The next prime is 51603817. The reversal of 51603804 is 40830615.

51603804 is a `hidden beast` number, since 51 + 603 + 8 + 0 + 4 = 666.

51603804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51603803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138162 + ... + 138534.

Almost surely, 251603804 is an apocalyptic number.

51603804 is a gapful number since it is divisible by the number (54) 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 51603804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78560944).

51603804 is an abundant number, since it is smaller than the sum of its proper divisors (105518084).

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

51603804 is a wasteful number, since it uses less digits than its factorization.

51603804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51603804 is about 7183.5787738425. The cubic root of 51603804 is about 372.3007453489.

The spelling of 51603804 in words is "fifty-one million, six hundred three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 252 324 366 373 378 427 549 567 732 746 756 854 1098 1119 1134 1281 1492 1647 1708 2196 2238 2268 2562 2611 3294 3357 3843 4476 4941 5124 5222 6588 6714 7686 7833 9882 10071 10444 11529 13428 15372 15666 19764 20142 22753 23058 23499 30213 31332 34587 40284 45506 46116 46998 60426 68259 69174 70497 91012 93996 120852 136518 138348 140994 159271 204777 211491 273036 281988 318542 409554 422982 477813 614331 637084 819108 845964 955626 1228662 1433439 1842993 1911252 2457324 2866878 3685986 4300317 5733756 7371972 8600634 12900951 17201268 25801902 51603804