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1530008478 = 2321931314293
BaseRepresentation
bin101101100110010…
…0001001110011110
310221121222111001200
41123030201032132
511113140232403
6411453220330
752625600055
oct13314411636
93847874050
101530008478
11715717019
123684916a6
131b4c9b07b
141072b539c
158e4c5ca3
hex5b32139e

1530008478 has 48 divisors (see below), whose sum is σ = 3500886480. Its totient is φ = 481583232.

The previous prime is 1530008443. The next prime is 1530008569. The reversal of 1530008478 is 8748000351.

1530008478 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99900 + ... + 114192.

It is an arithmetic number, because the mean of its divisors is an integer number (72935135).

Almost surely, 21530008478 is an apocalyptic number.

1530008478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530008478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750443240).

1530008478 is an abundant number, since it is smaller than the sum of its proper divisors (1970878002).

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

1530008478 is a wasteful number, since it uses less digits than its factorization.

1530008478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14633 (or 14630 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1530008478 is about 39115.3228032187. The cubic root of 1530008478 is about 1152.2974808645.

The spelling of 1530008478 in words is "one billion, five hundred thirty million, eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 313 342 626 939 1878 2817 5634 5947 11894 14293 17841 28586 35682 42879 53523 85758 107046 128637 257274 271567 543134 814701 1629402 2444103 4473709 4888206 8947418 13421127 26842254 40263381 80526762 85000471 170000942 255001413 510002826 765004239 1530008478