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428255100 = 223452721383
BaseRepresentation
bin11001100001101…
…010011101111100
31002211211121120000
4121201222131330
51334113130400
6110254554300
713420052100
oct3141523574
91084747500
10428255100
111aa814439
12bb508990
136a9552b0
1440c3b900
15278e5600
hex1986a77c

428255100 has 540 divisors, whose sum is σ = 1760059224. Its totient is φ = 89268480.

The previous prime is 428255081. The next prime is 428255119. The reversal of 428255100 is 1552824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428255081) and next prime (428255119).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5159659 + ... + 5159741.

Almost surely, 2428255100 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 428255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880029612).

428255100 is an abundant number, since it is smaller than the sum of its proper divisors (1331804124).

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

428255100 is a wasteful number, since it uses less digits than its factorization.

428255100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 428255100 is about 20694.3253091276. The cubic root of 428255100 is about 753.7618992701.

The spelling of 428255100 in words is "four hundred twenty-eight million, two hundred fifty-five thousand, one hundred".