Search a number
-
+
679092816 = 243531731543
BaseRepresentation
bin101000011110100…
…010001001010000
31202022211111012210
4220132202021100
52342321432231
6151215152120
722554123303
oct5036421120
91668744183
10679092816
1131936a536
1216b515640
13aa8cc08c
1466294b3a
153e942a46
hex287a2250

679092816 has 80 divisors (see below), whose sum is σ = 1798920576. Its totient is φ = 220666368.

The previous prime is 679092811. The next prime is 679092833. The reversal of 679092816 is 618290976.

It is a super-2 number, since 2×6790928162 = 922334105485619712, 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 (679092811) by changing a digit.

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, 439341 + ... + 440883.

Almost surely, 2679092816 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 679092816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899460288).

679092816 is an abundant number, since it is smaller than the sum of its proper divisors (1119827760).

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

679092816 is a wasteful number, since it uses less digits than its factorization.

679092816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 679092816 is about 26059.4093563150. The cubic root of 679092816 is about 878.9747080956.

The spelling of 679092816 in words is "six hundred seventy-nine million, ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 173 212 318 346 424 519 636 692 848 1038 1272 1384 1543 2076 2544 2768 3086 4152 4629 6172 8304 9169 9258 12344 18338 18516 24688 27507 36676 37032 55014 73352 74064 81779 110028 146704 163558 220056 245337 266939 327116 440112 490674 533878 654232 800817 981348 1067756 1308464 1601634 1962696 2135512 3203268 3925392 4271024 6406536 12813072 14147767 28295534 42443301 56591068 84886602 113182136 169773204 226364272 339546408 679092816