Search a number
-
+
675878256 = 24351311327
BaseRepresentation
bin101000010010010…
…001010101110000
31202002210011200000
4220102101111300
52341011101011
6151022230000
722514604354
oct5022212560
91662704600
10675878256
11317574379
1216a425300
13aa044b81
1465a99464
153e50a356
hex28491570

675878256 has 120 divisors (see below), whose sum is σ = 1978040064. Its totient is φ = 223404480.

The previous prime is 675878243. The next prime is 675878261. The reversal of 675878256 is 652878576.

675878256 is a `hidden beast` number, since 6 + 7 + 587 + 8 + 2 + 56 = 666.

It is a super-2 number, since 2×6758782562 = 913622833867203072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 508665 + ... + 509991.

Almost surely, 2675878256 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 675878256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989020032).

675878256 is an abundant number, since it is smaller than the sum of its proper divisors (1302161808).

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

675878256 is a wasteful number, since it uses less digits than its factorization.

675878256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1463 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 675878256 is about 25997.6586638105. The cubic root of 675878256 is about 877.5856063754.

The spelling of 675878256 in words is "six hundred seventy-five million, eight hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 243 262 324 393 432 486 524 648 786 972 1048 1179 1296 1327 1572 1944 2096 2358 2654 3144 3537 3888 3981 4716 5308 6288 7074 7962 9432 10611 10616 11943 14148 15924 18864 21222 21232 23886 28296 31833 31848 35829 42444 47772 56592 63666 63696 71658 84888 95544 107487 127332 143316 169776 173837 191088 214974 254664 286632 322461 347674 429948 509328 521511 573264 644922 695348 859896 1043022 1289844 1390696 1564533 1719792 2086044 2579688 2781392 3129066 4172088 4693599 5159376 6258132 8344176 9387198 12516264 14080797 18774396 25032528 28161594 37548792 42242391 56323188 75097584 84484782 112646376 168969564 225292752 337939128 675878256