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488320272 = 243311102761
BaseRepresentation
bin11101000110110…
…010110100010000
31021000212020111000
4131012302310100
52000002222042
6120242222000
715046440156
oct3506626420
91230766430
10488320272
1123070a280
12117654900
137a225b0b
1448bd53d6
152cd0c74c
hex1d1b2d10

488320272 has 80 divisors (see below), whose sum is σ = 1529098560. Its totient is φ = 147974400.

The previous prime is 488320267. The next prime is 488320279. The reversal of 488320272 is 272023884.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (488320279) 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, 46629 + ... + 56132.

It is an arithmetic number, because the mean of its divisors is an integer number (19113732).

Almost surely, 2488320272 is an apocalyptic number.

It is an amenable number.

488320272 is an abundant number, since it is smaller than the sum of its proper divisors (1040778288).

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

488320272 is a wasteful number, since it uses less digits than its factorization.

488320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102789 (or 102777 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 488320272 is about 22097.9698615054. The cubic root of 488320272 is about 787.4716325382.

The spelling of 488320272 in words is "four hundred eighty-eight million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 102761 205522 308283 411044 616566 822088 924849 1130371 1233132 1644176 1849698 2260742 2466264 2774547 3391113 3699396 4521484 4932528 5549094 6782226 7398792 9042968 10173339 11098188 13564452 14797584 18085936 20346678 22196376 27128904 30520017 40693356 44392752 54257808 61040034 81386712 122080068 162773424 244160136 488320272