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630148428 = 2232721327479
BaseRepresentation
bin100101100011110…
…100110101001100
31121220201212010200
4211203310311030
52242304222203
6142310133500
721421113300
oct4543646514
91556655120
10630148428
112a377a928
12157051290
13a07232c0
145d993d00
153a4c59a3
hex258f4d4c

630148428 has 108 divisors (see below), whose sum is σ = 1995542640. Its totient is φ = 166186944.

The previous prime is 630148403. The next prime is 630148481. The reversal of 630148428 is 824841036.

630148428 is a `hidden beast` number, since 630 + 14 + 8 + 4 + 2 + 8 = 666.

630148428 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 630148392 and 630148401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9193 + ... + 36671.

Almost surely, 2630148428 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 630148428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997771320).

630148428 is an abundant number, since it is smaller than the sum of its proper divisors (1365394212).

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

630148428 is a wasteful number, since it uses less digits than its factorization.

630148428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27516 (or 27504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 630148428 is about 25102.7573784236. The cubic root of 630148428 is about 857.3292065785.

The spelling of 630148428 in words is "six hundred thirty million, one hundred forty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 27479 54958 82437 109916 164874 192353 247311 329748 357227 384706 494622 577059 714454 769412 989244 1071681 1154118 1346471 1428908 1731177 2143362 2308236 2500589 2692942 3215043 3462354 4039413 4286724 5001178 5385884 6430086 6924708 7501767 8078826 10002356 12118239 12860172 15003534 16157652 17504123 22505301 24236478 30007068 35008246 45010602 48472956 52512369 70016492 90021204 105024738 157537107 210049476 315074214 630148428