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630720048 = 243719313187
BaseRepresentation
bin100101100110000…
…000011000110000
31121221210220020210
4211212000120300
52242431020143
6142330304120
721426013650
oct4546003060
91557726223
10630720048
112a4030342
12157288040
13a089353a
145daa2360
153a58a033
hex25980630

630720048 has 160 divisors (see below), whose sum is σ = 2023997440. Its totient is φ = 165162240.

The previous prime is 630720047. The next prime is 630720059. The reversal of 630720048 is 840027036.

It is a junction number, because it is equal to n+sod(n) for n = 630719997 and 630720024.

It is not an unprimeable number, because it can be changed into a prime (630720047) 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, 196311 + ... + 199497.

It is an arithmetic number, because the mean of its divisors is an integer number (12649984).

Almost surely, 2630720048 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 630720048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011998720).

630720048 is an abundant number, since it is smaller than the sum of its proper divisors (1393277392).

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

630720048 is a wasteful number, since it uses less digits than its factorization.

630720048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 630720048 is about 25114.1403993846. The cubic root of 630720048 is about 857.5883616130.

The spelling of 630720048 in words is "six hundred thirty million, seven hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 798 868 912 1064 1178 1302 1488 1596 1736 1767 2128 2356 2604 3187 3192 3472 3534 4123 4712 5208 6374 6384 7068 8246 9424 9561 10416 12369 12748 14136 16492 19122 22309 24738 25496 28272 32984 38244 44618 49476 50992 60553 65968 66927 76488 89236 98797 98952 121106 133854 152976 178472 181659 197594 197904 242212 267708 296391 356944 363318 395188 423871 484424 535416 592782 691579 726636 790376 847742 968848 1070832 1185564 1271613 1383158 1453272 1580752 1695484 1877143 2074737 2371128 2543226 2766316 2906544 3390968 3754286 4149474 4742256 5086452 5532632 5631429 6781936 7508572 8298948 10172904 11065264 11262858 13140001 15017144 16597896 20345808 22525716 26280002 30034288 33195792 39420003 45051432 52560004 78840006 90102864 105120008 157680012 210240016 315360024 630720048