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428281830 = 23451992657
BaseRepresentation
bin11001100001110…
…000111111100110
31002211212222020000
4121201300333212
51334120004310
6110255322130
713420223034
oct3141607746
91084788200
10428281830
111aa832529
12bb520346
136a964502
1440c47554
15278ed4c0
hex19870fe6

428281830 has 80 divisors (see below), whose sum is σ = 1157824800. Its totient is φ = 113591808.

The previous prime is 428281829. The next prime is 428281853. The reversal of 428281830 is 38182824.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159862 + ... + 162518.

It is an arithmetic number, because the mean of its divisors is an integer number (14472810).

Almost surely, 2428281830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428281830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578912400).

428281830 is an abundant number, since it is smaller than the sum of its proper divisors (729542970).

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

428281830 is a wasteful number, since it uses less digits than its factorization.

428281830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 428281830 is about 20694.9711282717. The cubic root of 428281830 is about 753.7775812288. Note that the first 3 decimals are identical.

The spelling of 428281830 in words is "four hundred twenty-eight million, two hundred eighty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 270 398 405 597 810 995 1194 1791 1990 2657 2985 3582 5314 5373 5970 7971 8955 10746 13285 15942 16119 17910 23913 26570 26865 32238 39855 47826 53730 71739 79710 80595 119565 143478 161190 215217 239130 358695 430434 528743 717390 1057486 1076085 1586229 2152170 2643715 3172458 4758687 5287430 7931145 9517374 14276061 15862290 23793435 28552122 42828183 47586870 71380305 85656366 142760610 214140915 428281830