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480652830 = 232573124611
BaseRepresentation
bin11100101001100…
…010111000011110
31020111102200201200
4130221202320132
51441021342310
6115410020330
714624324130
oct3451427036
91214380650
10480652830
11227352649
12114b776a6
137876cb78
1447b9b050
152c2e59c0
hex1ca62e1e

480652830 has 96 divisors (see below), whose sum is σ = 1474357248. Its totient is φ = 106315200.

The previous prime is 480652819. The next prime is 480652867. The reversal of 480652830 is 38256084.

It is a super-3 number, since 3×4806528303 (a number of 27 digits) contains 333 as substring.

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, 7225 + ... + 31835.

It is an arithmetic number, because the mean of its divisors is an integer number (15357888).

Almost surely, 2480652830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480652830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737178624).

480652830 is an abundant number, since it is smaller than the sum of its proper divisors (993704418).

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

480652830 is a wasteful number, since it uses less digits than its factorization.

480652830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24662 (or 24659 counting only the distinct ones).

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

The square root of 480652830 is about 21923.7959760622. The cubic root of 480652830 is about 783.3283317421.

The spelling of 480652830 in words is "four hundred eighty million, six hundred fifty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 24611 49222 73833 123055 147666 172277 221499 246110 344554 369165 442998 516831 738330 762941 861385 1033662 1107495 1525882 1550493 1722770 2214990 2288823 2584155 3100986 3814705 4577646 5168310 5340587 6866469 7629410 7752465 10681174 11444115 13732938 15504930 16021761 22888230 26702935 32043522 34332345 48065283 53405870 68664690 80108805 96130566 160217610 240326415 480652830