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630480852 = 2232317173109
BaseRepresentation
bin100101100101000…
…101111111010100
31121221100202010200
4211211011333110
52242400341402
6142321220500
721423666411
oct4545057724
91557322120
10630480852
112a3987661
12157191730
13a080b6c1
145da3d108
153a53e21c
hex25945fd4

630480852 has 144 divisors (see below), whose sum is σ = 1706664960. Its totient is φ = 195955200.

The previous prime is 630480841. The next prime is 630480863. The reversal of 630480852 is 258084036.

It is an interprime number because it is at equal distance from previous prime (630480841) and next prime (630480863).

It is a super-2 number, since 2×6304808522 = 795012209477291808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5784174 + ... + 5784282.

It is an arithmetic number, because the mean of its divisors is an integer number (11851840).

Almost surely, 2630480852 is an apocalyptic number.

630480852 is a gapful number since it is divisible by the number (62) 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 630480852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853332480).

630480852 is an abundant number, since it is smaller than the sum of its proper divisors (1076184108).

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

630480852 is a wasteful number, since it uses less digits than its factorization.

630480852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 630480852 is about 25109.3777700683. The cubic root of 630480852 is about 857.4799365183.

The spelling of 630480852 in words is "six hundred thirty million, four hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 73 93 109 124 142 146 186 213 218 219 279 284 292 327 372 426 436 438 558 639 654 657 852 876 981 1116 1278 1308 1314 1962 2201 2263 2556 2628 3379 3924 4402 4526 5183 6603 6758 6789 7739 7957 8804 9052 10137 10366 13206 13516 13578 15478 15549 15914 19809 20274 20367 20732 23217 23871 26412 27156 30411 30956 31098 31828 39618 40548 40734 46434 46647 47742 60822 62196 69651 71613 79236 81468 92868 93294 95484 121644 139302 143226 160673 186588 239909 246667 278604 286452 321346 479818 482019 493334 564947 642692 719727 740001 959636 964038 986668 1129894 1439454 1446057 1480002 1694841 1928076 2159181 2220003 2259788 2878908 2892114 2960004 3389682 4318362 4440006 5084523 5784228 6779364 8636724 8880012 10169046 17513357 20338092 35026714 52540071 70053428 105080142 157620213 210160284 315240426 630480852