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428919720 = 233531115301
BaseRepresentation
bin11001100100001…
…100101110101000
31002220002101020120
4121210030232220
51334300412340
6110321123240
713425520545
oct3144145650
91086071216
10428919720
11200128809
12bb789520
136ab28968
1440d71bcc
15279c74d0
hex1990cba8

428919720 has 64 divisors (see below), whose sum is σ = 1328279040. Its totient is φ = 110688000.

The previous prime is 428919719. The next prime is 428919721. The reversal of 428919720 is 27919824.

It is an interprime number because it is at equal distance from previous prime (428919719) and next prime (428919721).

It is not an unprimeable number, because it can be changed into a prime (428919721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53931 + ... + 61370.

It is an arithmetic number, because the mean of its divisors is an integer number (20754360).

Almost surely, 2428919720 is an apocalyptic number.

428919720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428919720 is an abundant number, since it is smaller than the sum of its proper divisors (899359320).

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

428919720 is a wasteful number, since it uses less digits than its factorization.

428919720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115346 (or 115342 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 428919720 is about 20710.3771090726. The cubic root of 428919720 is about 754.1516251625.

The spelling of 428919720 in words is "four hundred twenty-eight million, nine hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 115301 230602 345903 461204 576505 691806 922408 1153010 1383612 1729515 2306020 2767224 3459030 3574331 4612040 6918060 7148662 10722993 13836120 14297324 17871655 21445986 28594648 35743310 42891972 53614965 71486620 85783944 107229930 142973240 214459860 428919720