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428748030 = 23251012467
BaseRepresentation
bin11001100011100…
…010110011111110
31002212202122201200
4121203202303332
51334224414110
6110313320330
713424204154
oct3143426376
91085678650
10428748030
11200020817
12bb7060a6
136aa98779
1440d293d4
15279916c0
hex198e2cfe

428748030 has 72 divisors (see below), whose sum is σ = 1128302136. Its totient is φ = 112958400.

The previous prime is 428748013. The next prime is 428748031. The reversal of 428748030 is 30847824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428748031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917857 + ... + 918323.

It is an arithmetic number, because the mean of its divisors is an integer number (15670863).

Almost surely, 2428748030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428748030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564151068).

428748030 is an abundant number, since it is smaller than the sum of its proper divisors (699554106).

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

428748030 is a wasteful number, since it uses less digits than its factorization.

428748030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 428748030 is about 20706.2316706831. The cubic root of 428748030 is about 754.0509866151.

The spelling of 428748030 in words is "four hundred twenty-eight million, seven hundred forty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 467 505 606 909 934 1010 1401 1515 1818 2335 2802 3030 4203 4545 4670 7005 8406 9090 10201 14010 20402 21015 30603 42030 47167 51005 61206 91809 94334 102010 141501 153015 183618 235835 283002 306030 424503 459045 471670 707505 849006 918090 1415010 2122515 4245030 4763867 9527734 14291601 23819335 28583202 42874803 47638670 71458005 85749606 142916010 214374015 428748030