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83143488 = 2633161229
BaseRepresentation
bin1001111010010…
…10101101000000
312210110010102110
410331022231000
5132241042423
612130015320
72026464561
oct475125500
9183403373
1083143488
1142a28a2a
1223a17540
13142c113c
14b084168
157475193
hex4f4ab40

83143488 has 112 divisors (see below), whose sum is σ = 231810560. Its totient is φ = 26265600.

The previous prime is 83143451. The next prime is 83143513. The reversal of 83143488 is 88434138.

It is a super-2 number, since 2×831434882 = 13825679193612288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362958 + ... + 363186.

Almost surely, 283143488 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 83143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115905280).

83143488 is an abundant number, since it is smaller than the sum of its proper divisors (148667072).

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

83143488 is a wasteful number, since it uses less digits than its factorization.

83143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 83143488 is about 9118.3051056652. The cubic root of 83143488 is about 436.4582898204.

The spelling of 83143488 in words is "eighty-three million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 183 186 192 229 244 248 366 372 458 488 496 687 732 744 916 976 992 1374 1464 1488 1832 1891 1952 1984 2748 2928 2976 3664 3782 3904 5496 5673 5856 5952 7099 7328 7564 10992 11346 11712 13969 14198 14656 15128 21297 21984 22692 27938 28396 30256 41907 42594 43968 45384 55876 56792 60512 83814 85188 90768 111752 113584 121024 167628 170376 181536 223504 227168 335256 340752 363072 433039 447008 454336 670512 681504 866078 894016 1299117 1341024 1363008 1732156 2598234 2682048 3464312 5196468 6928624 10392936 13857248 20785872 27714496 41571744 83143488