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1111288896 = 26344632
BaseRepresentation
bin100001000111100…
…1110110001000000
32212110002022210000
41002033032301000
54233442221041
6302134440000
736352541214
oct10217166100
92773068700
101111288896
11520325883
12270203000
131493040c3
14a783a944
1567865bb6
hex423cec40

1111288896 has 105 divisors (see below), whose sum is σ = 3301338711. Its totient is φ = 369629568.

The previous prime is 1111288889. The next prime is 1111288897. The reversal of 1111288896 is 6988821111.

The square root of 1111288896 is 33336.

It is a perfect power (a square), and thus also a powerful number.

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 (1111288897) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2399961 + ... + 2400423.

Almost surely, 21111288896 is an apocalyptic number.

1111288896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1111288896 is the 33336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111288896

1111288896 is an abundant number, since it is smaller than the sum of its proper divisors (2190049815).

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

1111288896 is an frugal number, since it uses more digits than its factorization.

1111288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 468 counting only the distinct ones).

The product of its digits is 55296, while the sum is 45.

The cubic root of 1111288896 is about 1035.7994076038.

The spelling of 1111288896 in words is "one billion, one hundred eleven million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 463 576 648 864 926 1296 1389 1728 1852 2592 2778 3704 4167 5184 5556 7408 8334 11112 12501 14816 16668 22224 25002 29632 33336 37503 44448 50004 66672 75006 88896 100008 133344 150012 200016 214369 266688 300024 400032 428738 600048 643107 800064 857476 1200096 1286214 1714952 1929321 2400192 2572428 3429904 3858642 5144856 5787963 6859808 7717284 10289712 11575926 13719616 15434568 17363889 20579424 23151852 30869136 34727778 41158848 46303704 61738272 69455556 92607408 123476544 138911112 185214816 277822224 370429632 555644448 1111288896