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424280064 = 21731383
BaseRepresentation
bin11001010010100…
…000000000000000
31002120100122211110
4121102200000000
51332103430224
6110033443320
713341215055
oct3122400000
91076318743
10424280064
111a854998a
12ba110540
1369b92bc0
14404c502c
15273ac929
hex194a0000

424280064 has 144 divisors (see below), whose sum is σ = 1233120672. Its totient is φ = 128974848.

The previous prime is 424280041. The next prime is 424280117. The reversal of 424280064 is 460082424.

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, 5111767 + ... + 5111849.

It is an arithmetic number, because the mean of its divisors is an integer number (8563338).

Almost surely, 2424280064 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 424280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616560336).

424280064 is an abundant number, since it is smaller than the sum of its proper divisors (808840608).

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

424280064 is an frugal number, since it uses more digits than its factorization.

424280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 424280064 is about 20598.0597144488. The cubic root of 424280064 is about 751.4225233085.

The spelling of 424280064 in words is "four hundred twenty-four million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 512 624 664 768 832 996 1024 1079 1248 1328 1536 1664 1992 2048 2158 2496 2656 3072 3237 3328 3984 4096 4316 4992 5312 6144 6474 6656 7968 8192 8632 9984 10624 12288 12948 13312 15936 16384 17264 19968 21248 24576 25896 26624 31872 32768 34528 39936 42496 49152 51792 53248 63744 65536 69056 79872 84992 98304 103584 106496 127488 131072 138112 159744 169984 196608 207168 212992 254976 276224 319488 339968 393216 414336 425984 509952 552448 638976 679936 828672 851968 1019904 1104896 1277952 1359872 1657344 1703936 2039808 2209792 2555904 2719744 3314688 4079616 4419584 5111808 5439488 6629376 8159232 8839168 10878976 13258752 16318464 17678336 26517504 32636928 35356672 53035008 70713344 106070016 141426688 212140032 424280064