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55028028 = 223111937593
BaseRepresentation
bin1101000111101…
…0100100111100
310211112201021010
43101322210330
5103041344103
65243235220
71235505366
oct321724474
9124481233
1055028028
1129075410
1216518b10
13b528b83
147445d36
154c6e903
hex347a93c

55028028 has 96 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 15344640.

The previous prime is 55028021. The next prime is 55028101. The reversal of 55028028 is 82082055.

It is a junction number, because it is equal to n+sod(n) for n = 55027986 and 55028004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55028021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92500 + ... + 93092.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 255028028 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 55028028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

55028028 is an abundant number, since it is smaller than the sum of its proper divisors (96655812).

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

55028028 is a wasteful number, since it uses less digits than its factorization.

55028028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 55028028 is about 7418.0878937904. The cubic root of 55028028 is about 380.3598345917.

It can be divided in two parts, 5502 and 8028, that added together give a triangular number (13530 = T164).

The spelling of 55028028 in words is "fifty-five million, twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 444 593 627 703 814 836 1186 1221 1254 1406 1628 1779 2109 2372 2442 2508 2812 3558 4218 4884 6523 7116 7733 8436 11267 13046 15466 19569 21941 22534 23199 26092 30932 33801 39138 43882 45068 46398 65823 67602 78276 87764 92796 123937 131646 135204 241351 247874 263292 371811 416879 482702 495748 724053 743622 833758 965404 1250637 1448106 1487244 1667516 2501274 2896212 4585669 5002548 9171338 13757007 18342676 27514014 55028028