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272268288 = 2103231953
BaseRepresentation
bin10000001110100…
…111110000000000
3200222022122212200
4100032213300000
51024200041123
643003353200
76514146045
oct2016476000
9628278780
10272268288
1112a763216
1277222800
134453b3c6
14282351cc
1518d82143
hex103a7c00

272268288 has 132 divisors (see below), whose sum is σ = 812380608. Its totient is φ = 87736320.

The previous prime is 272268287. The next prime is 272268289. The reversal of 272268288 is 882862272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272268287) and next prime (272268289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272268287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285220 + ... + 286172.

Almost surely, 2272268288 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 272268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406190304).

272268288 is an abundant number, since it is smaller than the sum of its proper divisors (540112320).

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

272268288 is a wasteful number, since it uses less digits than its factorization.

272268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 989 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 272268288 is about 16500.5541725119. The cubic root of 272268288 is about 648.1353169626.

The spelling of 272268288 in words is "two hundred seventy-two million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 953 992 1024 1116 1152 1488 1536 1906 1984 2232 2304 2859 2976 3072 3812 3968 4464 4608 5718 5952 7624 7936 8577 8928 9216 11436 11904 15248 15872 17154 17856 22872 23808 29543 30496 31744 34308 35712 45744 47616 59086 60992 68616 71424 88629 91488 95232 118172 121984 137232 142848 177258 182976 236344 243968 265887 274464 285696 354516 365952 472688 487936 531774 548928 709032 731904 945376 975872 1063548 1097856 1418064 1463808 1890752 2127096 2195712 2836128 2927616 3781504 4254192 4391424 5672256 7563008 8508384 8782848 11344512 15126016 17016768 22689024 30252032 34033536 45378048 68067072 90756096 136134144 272268288