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129027552 = 25317173457
BaseRepresentation
bin1111011000011…
…00110111100000
322222210021112020
413230030313200
5231012340202
620445301440
73124500423
oct754146740
9288707466
10129027552
1166918345
1237264880
1320967c84
14131c99ba
15b4da5bc
hex7b0cde0

129027552 has 96 divisors (see below), whose sum is σ = 361482912. Its totient is φ = 40157184.

The previous prime is 129027529. The next prime is 129027553. The reversal of 129027552 is 255720921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1290275522 = 33296218350225408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129027553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282108 + ... + 282564.

It is an arithmetic number, because the mean of its divisors is an integer number (3765447).

Almost surely, 2129027552 is an apocalyptic number.

129027552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180741456).

129027552 is an abundant number, since it is smaller than the sum of its proper divisors (232455360).

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

129027552 is a wasteful number, since it uses less digits than its factorization.

129027552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 129027552 is about 11359.0295360123. The cubic root of 129027552 is about 505.3134047800.

The spelling of 129027552 in words is "one hundred twenty-nine million, twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 204 272 346 408 457 519 544 692 816 914 1038 1371 1384 1632 1828 2076 2742 2768 2941 3656 4152 5484 5536 5882 7312 7769 8304 8823 10968 11764 14624 15538 16608 17646 21936 23307 23528 31076 35292 43872 46614 47056 62152 70584 79061 93228 94112 124304 141168 158122 186456 237183 248608 282336 316244 372912 474366 632488 745824 948732 1264976 1344037 1897464 2529952 2688074 3794928 4032111 5376148 7589856 8064222 10752296 16128444 21504592 32256888 43009184 64513776 129027552