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648330156 = 223417313797
BaseRepresentation
bin100110101001001…
…011101110101100
31200011221120210000
4212221023232230
52311433031111
6144155544300
722031500245
oct4651135654
91604846700
10648330156
11302a69051
1216115b090
13a441ac16
1462167ccc
153bdb7c56
hex26a4bbac

648330156 has 120 divisors (see below), whose sum is σ = 1852937856. Its totient is φ = 196784640.

The previous prime is 648330149. The next prime is 648330229. The reversal of 648330156 is 651033846.

648330156 is a `hidden beast` number, since 648 + 3 + 3 + 0 + 1 + 5 + 6 = 666.

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 648330156.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168850 + ... + 172646.

Almost surely, 2648330156 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 648330156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926468928).

648330156 is an abundant number, since it is smaller than the sum of its proper divisors (1204607700).

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

648330156 is a wasteful number, since it uses less digits than its factorization.

648330156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3850 counting only the distinct ones).

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

The square root of 648330156 is about 25462.3281732052. The cubic root of 648330156 is about 865.4966824631.

The spelling of 648330156 in words is "six hundred forty-eight million, three hundred thirty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 1054 1116 1377 1581 1674 1836 2108 2511 2754 3162 3348 3797 4743 5022 5508 6324 7594 9486 10044 11391 14229 15188 18972 22782 28458 34173 42687 45564 56916 64549 68346 85374 102519 117707 129098 136692 170748 193647 205038 235414 258196 307557 353121 387294 410076 470828 580941 615114 706242 774588 1059363 1161882 1230228 1412484 1742823 2001019 2118726 2323764 3178089 3485646 4002038 4237452 5228469 6003057 6356178 6971292 8004076 9534267 10456938 12006114 12712356 18009171 19068534 20913876 24012228 36018342 38137068 54027513 72036684 108055026 162082539 216110052 324165078 648330156