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428737120 = 2557382801
BaseRepresentation
bin11001100011100…
…000001001100000
31002212202002202121
4121203200021200
51334224041440
6110313154024
713424130310
oct3143401140
91085662677
10428737120
112000135a9
12bb6bb914
136aa93806
1440d25440
152798d34a
hex198e0260

428737120 has 48 divisors (see below), whose sum is σ = 1157593248. Its totient is φ = 146995200.

The previous prime is 428737091. The next prime is 428737139. The reversal of 428737120 is 21737824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190281 + ... + 192520.

It is an arithmetic number, because the mean of its divisors is an integer number (24116526).

Almost surely, 2428737120 is an apocalyptic number.

428737120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428737120 is an abundant number, since it is smaller than the sum of its proper divisors (728856128).

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

428737120 is a wasteful number, since it uses less digits than its factorization.

428737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382823 (or 382815 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 428737120 is about 20705.9682217471. The cubic root of 428737120 is about 754.0445906549.

The spelling of 428737120 in words is "four hundred twenty-eight million, seven hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 382801 765602 1531204 1914005 2679607 3062408 3828010 5359214 6124816 7656020 10718428 12249632 13398035 15312040 21436856 26796070 30624080 42873712 53592140 61248160 85747424 107184280 214368560 428737120