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896272272 = 243272273917
BaseRepresentation
bin110101011011000…
…000011110010000
32022110111100102100
4311123000132100
53313421203042
6224534120400
731132121460
oct6533003620
92273440370
10896272272
1141aa16695
122101b0100
131138bca2c
1487069ba0
1553a4224c
hex356c0790

896272272 has 120 divisors (see below), whose sum is σ = 2880012096. Its totient is φ = 254884608.

The previous prime is 896272271. The next prime is 896272309. The reversal of 896272272 is 272272698.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (896272271) 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 23 ways as a sum of consecutive naturals, for example, 226858 + ... + 230774.

Almost surely, 2896272272 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 896272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440006048).

896272272 is an abundant number, since it is smaller than the sum of its proper divisors (1983739824).

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

896272272 is a wasteful number, since it uses less digits than its factorization.

896272272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4156 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 896272272 is about 29937.8067332929. The cubic root of 896272272 is about 964.1545467113.

The spelling of 896272272 in words is "eight hundred ninety-six million, two hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 227 252 336 454 504 681 908 1008 1362 1589 1816 2043 2724 3178 3632 3917 4086 4767 5448 6356 7834 8172 9534 10896 11751 12712 14301 15668 16344 19068 23502 25424 27419 28602 31336 32688 35253 38136 47004 54838 57204 62672 70506 76272 82257 94008 109676 114408 141012 164514 188016 219352 228816 246771 282024 329028 438704 493542 564048 658056 889159 987084 1316112 1778318 1974168 2667477 3556636 3948336 5334954 6224113 7113272 8002431 10669908 12448226 14226544 16004862 18672339 21339816 24896452 32009724 37344678 42679632 49792904 56017017 64019448 74689356 99585808 112034034 128038896 149378712 224068068 298757424 448136136 896272272