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289575552 = 2737176337
BaseRepresentation
bin10001010000101…
…001001010000000
3202011212221222110
4101100221022000
51043112404202
644422335320
710114231410
oct2120511200
9664787873
10289575552
11139504442
1280b8a540
1347cbaca6
142a65c640
151a65026c
hex11429280

289575552 has 128 divisors (see below), whose sum is σ = 930925440. Its totient is φ = 77856768.

The previous prime is 289575551. The next prime is 289575553. The reversal of 289575552 is 255575982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (289575551) and next prime (289575553).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2895755522 = 167708000632209408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289575551) 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, 42528 + ... + 48864.

It is an arithmetic number, because the mean of its divisors is an integer number (7272855).

Almost surely, 2289575552 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 289575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465462720).

289575552 is an abundant number, since it is smaller than the sum of its proper divisors (641349888).

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

289575552 is a wasteful number, since it uses less digits than its factorization.

289575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6366 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 48.

The square root of 289575552 is about 17016.9195802296. The cubic root of 289575552 is about 661.5875099687.

The spelling of 289575552 in words is "two hundred eighty-nine million, five hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6337 6528 7616 11424 12674 15232 19011 22848 25348 38022 44359 45696 50696 76044 88718 101392 107729 133077 152088 177436 202784 215458 266154 304176 323187 354872 405568 430916 532308 608352 646374 709744 754103 811136 861832 1064616 1216704 1292748 1419488 1508206 1723664 2129232 2262309 2433408 2585496 2838976 3016412 3447328 4258464 4524618 5170992 5677952 6032824 6894656 8516928 9049236 10341984 12065648 13789312 17033856 18098472 20683968 24131296 36196944 41367936 48262592 72393888 96525184 144787776 289575552