Search a number
-
+
88297344 = 273329881
BaseRepresentation
bin1010100001101…
…00111110000000
320011010222012000
411100310332000
5140101003334
612432304000
72121341442
oct520647600
9204128160
1088297344
1145929113
12256a2000
13153a6c65
14ba26492
157b42299
hex5434f80

88297344 has 128 divisors (see below), whose sum is σ = 269892000. Its totient is φ = 28385280.

The previous prime is 88297327. The next prime is 88297379. The reversal of 88297344 is 44379288.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88297344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99784 + ... + 100664.

Almost surely, 288297344 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 88297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946000).

88297344 is an abundant number, since it is smaller than the sum of its proper divisors (181594656).

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

88297344 is a wasteful number, since it uses less digits than its factorization.

88297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 915 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 88297344 is about 9396.6666430176. Note that the first 4 decimals coincide. The cubic root of 88297344 is about 445.2964300240.

The spelling of 88297344 in words is "eighty-eight million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 881 928 1044 1152 1392 1566 1728 1762 1856 2088 2643 2784 3132 3456 3524 3712 4176 5286 5568 6264 7048 7929 8352 10572 11136 12528 14096 15858 16704 21144 23787 25056 25549 28192 31716 33408 42288 47574 50112 51098 56384 63432 76647 84576 95148 100224 102196 112768 126864 153294 169152 190296 204392 229941 253728 306588 338304 380592 408784 459882 507456 613176 689823 761184 817568 919764 1014912 1226352 1379646 1522368 1635136 1839528 2452704 2759292 3044736 3270272 3679056 4905408 5518584 7358112 9810816 11037168 14716224 22074336 29432448 44148672 88297344