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269393152 = 2871737239
BaseRepresentation
bin10000000011101…
…001110100000000
3200202220120221011
4100003221310000
51022431040102
642422010304
76450542530
oct2003516400
9622816834
10269393152
1112907a076
1276276994
1343a72842
1427ac74c0
15189b52d7
hex100e9d00

269393152 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 105283584.

The previous prime is 269393149. The next prime is 269393161. The reversal of 269393152 is 251393962.

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, 1127049 + ... + 1127287.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2269393152 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 269393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

269393152 is an abundant number, since it is smaller than the sum of its proper divisors (401692928).

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

269393152 is a wasteful number, since it uses less digits than its factorization.

269393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its digits is 87480, while the sum is 40.

The square root of 269393152 is about 16413.2005410279. The cubic root of 269393152 is about 645.8458162258.

The spelling of 269393152 in words is "two hundred sixty-nine million, three hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 128 136 148 224 238 239 256 259 272 296 448 476 478 518 544 592 629 896 952 956 1036 1088 1184 1258 1673 1792 1904 1912 2072 2176 2368 2516 3346 3808 3824 4063 4144 4352 4403 4736 5032 6692 7616 7648 8126 8288 8806 8843 9472 10064 13384 15232 15296 16252 16576 17612 17686 20128 26768 28441 30464 30592 32504 33152 35224 35372 40256 53536 56882 61184 61901 65008 66304 70448 70744 80512 107072 113764 123802 130016 140896 141488 150331 161024 214144 227528 247604 260032 281792 282976 300662 428288 455056 495208 520064 563584 565952 601324 910112 990416 1040128 1052317 1127168 1131904 1202648 1820224 1980832 2104634 2263808 2405296 3640448 3961664 4209268 4810592 7280896 7923328 8418536 9621184 15846656 16837072 19242368 33674144 38484736 67348288 134696576 269393152