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428803050 = 235213972267
BaseRepresentation
bin11001100011110…
…000001111101010
31002212212110012110
4121203300033222
51334233144200
6110314423150
713424523444
oct3143601752
91085773173
10428803050
11200059095
12bb731ab6
136aab7820
1440d41494
15279a2b50
hex198f03ea

428803050 has 96 divisors (see below), whose sum is σ = 1157550912. Its totient is φ = 104417280.

The previous prime is 428803049. The next prime is 428803069. The reversal of 428803050 is 50308824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 428802999 and 428803017.

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, 188017 + ... + 190283.

It is an arithmetic number, because the mean of its divisors is an integer number (12057822).

Almost surely, 2428803050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428803050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578775456).

428803050 is an abundant number, since it is smaller than the sum of its proper divisors (728747862).

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

428803050 is a wasteful number, since it uses less digits than its factorization.

428803050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 428803050 is about 20707.5602136031. The cubic root of 428803050 is about 754.0832402994.

The spelling of 428803050 in words is "four hundred twenty-eight million, eight hundred three thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 97 130 150 194 195 291 325 390 485 582 650 970 975 1261 1455 1950 2267 2425 2522 2910 3783 4534 4850 6305 6801 7275 7566 11335 12610 13602 14550 18915 22670 29471 31525 34005 37830 56675 58942 63050 68010 88413 94575 113350 147355 170025 176826 189150 219899 294710 340050 439798 442065 659697 736775 884130 1099495 1319394 1473550 2198990 2210325 2858687 3298485 4420650 5497475 5717374 6596970 8576061 10994950 14293435 16492425 17152122 28586870 32984850 42880305 71467175 85760610 142934350 214401525 428803050