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428245776 = 243271767373
BaseRepresentation
bin11001100001101…
…000001100010000
31002211211010202200
4121201220030100
51334112331101
6110254443200
713420012650
oct3141501420
91084733680
10428245776
111aa808432
12bb503500
136a950c8a
1440c38360
15278e2986
hex19868310

428245776 has 240 divisors, whose sum is σ = 1475869824. Its totient is φ = 113135616.

The previous prime is 428245723. The next prime is 428245787. The reversal of 428245776 is 677542824.

It is a happy number.

It is a congruent number.

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, 1147926 + ... + 1148298.

Almost surely, 2428245776 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 428245776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737934912).

428245776 is an abundant number, since it is smaller than the sum of its proper divisors (1047624048).

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

428245776 is a wasteful number, since it uses less digits than its factorization.

428245776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 428245776 is about 20694.1000287522. The cubic root of 428245776 is about 753.7564289114.

The spelling of 428245776 in words is "four hundred twenty-eight million, two hundred forty-five thousand, seven hundred seventy-six".