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1145029888 = 2831157919
BaseRepresentation
bin100010000111111…
…1100010100000000
32221210120112201101
41010033330110000
54321111424023
6305341544144
740242410362
oct10417742400
92853515641
101145029888
115383809a2
1227b575054
131532b8aa2
14ac100d32
156a7cd1ad
hex443fc500

1145029888 has 72 divisors (see below), whose sum is σ = 2376926720. Its totient is φ = 549918720.

The previous prime is 1145029867. The next prime is 1145029901. The reversal of 1145029888 is 8889205411.

It is a happy number.

It is a super-2 number, since 2×11450298882 = 2622186888826585088, which contains 22 as substring.

It is a congruent number.

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, 1245493 + ... + 1246411.

Almost surely, 21145029888 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 1145029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188463360).

1145029888 is an abundant number, since it is smaller than the sum of its proper divisors (1231896832).

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

1145029888 is an equidigital number, since it uses as much as digits as its factorization.

1145029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The square root of 1145029888 is about 33838.2902641372. The cubic root of 1145029888 is about 1046.1780592746.

The spelling of 1145029888 in words is "one billion, one hundred forty-five million, twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 157 248 256 314 496 628 919 992 1256 1838 1984 2512 3676 3968 4867 5024 7352 7936 9734 10048 14704 19468 20096 28489 29408 38936 40192 56978 58816 77872 113956 117632 144283 155744 227912 235264 288566 311488 455824 577132 622976 911648 1154264 1245952 1823296 2308528 3646592 4472773 4617056 7293184 8945546 9234112 17891092 18468224 35782184 36936448 71564368 143128736 286257472 572514944 1145029888