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428086300 = 22523725359
BaseRepresentation
bin11001100001000…
…001010000011100
31002211112001000011
4121201001100130
51334042230200
6110251213004
713415450005
oct3141012034
91084461004
10428086300
111aa709634
12bb447164
136a8c6505
1440bd61ac
15278b05ba
hex1984141c

428086300 has 108 divisors (see below), whose sum is σ = 989233560. Its totient is φ = 160692480.

The previous prime is 428086271. The next prime is 428086303. The reversal of 428086300 is 3680824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428086303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7255671 + ... + 7255729.

It is an arithmetic number, because the mean of its divisors is an integer number (9159570).

Almost surely, 2428086300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428086300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494616780).

428086300 is an abundant number, since it is smaller than the sum of its proper divisors (561147260).

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

428086300 is a wasteful number, since it uses less digits than its factorization.

428086300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 428086300 is about 20690.2464944234. The cubic root of 428086300 is about 753.6628525966.

The spelling of 428086300 in words is "four hundred twenty-eight million, eighty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 59 74 100 106 118 148 185 212 236 265 295 370 530 590 740 925 1060 1180 1325 1369 1475 1850 1961 2183 2650 2738 2950 3127 3700 3922 4366 5300 5476 5900 6254 6845 7844 8732 9805 10915 12508 13690 15635 19610 21830 27380 31270 34225 39220 43660 49025 54575 62540 68450 72557 78175 80771 98050 109150 115699 136900 145114 156350 161542 196100 218300 231398 290228 312700 323084 362785 403855 462796 578495 725570 807710 1156990 1451140 1615420 1813925 2019275 2313980 2892475 3627850 4038550 4280863 5784950 7255700 8077100 8561726 11569900 17123452 21404315 42808630 85617260 107021575 214043150 428086300