Search a number
-
+
245833728 = 213371429
BaseRepresentation
bin11101010011100…
…10000000000000
3122010120122110220
432221302000000
51000413134403
640221023040
76043360260
oct1651620000
9563518426
10245833728
11116848578
126a3b4a80
133bc1425a
14249137a0
15168ae953
hexea72000

245833728 has 112 divisors (see below), whose sum is σ = 749686080. Its totient is φ = 70189056.

The previous prime is 245833711. The next prime is 245833733. The reversal of 245833728 is 827338542.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 245833728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171318 + ... + 172746.

Almost surely, 2245833728 is an apocalyptic number.

245833728 is a gapful number since it is divisible by the number (28) 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 245833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374843040).

245833728 is an abundant number, since it is smaller than the sum of its proper divisors (503852352).

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

245833728 is an equidigital number, since it uses as much as digits as its factorization.

245833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1441 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 245833728 is about 15679.0856876286. The cubic root of 245833728 is about 626.4414542065.

The spelling of 245833728 in words is "two hundred forty-five million, eight hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1429 1536 1792 2048 2688 2858 3072 3584 4096 4287 5376 5716 6144 7168 8192 8574 10003 10752 11432 12288 14336 17148 20006 21504 22864 24576 28672 30009 34296 40012 43008 45728 57344 60018 68592 80024 86016 91456 120036 137184 160048 172032 182912 240072 274368 320096 365824 480144 548736 640192 731648 960288 1097472 1280384 1463296 1920576 2194944 2560768 2926592 3841152 4389888 5121536 5853184 7682304 8779776 10243072 11706368 15364608 17559552 20486144 30729216 35119104 40972288 61458432 81944576 122916864 245833728