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674799072 = 253311971151
BaseRepresentation
bin101000001110001…
…001110111100000
31202000202100022020
4220032021313200
52340222032242
6150543141440
722502461143
oct5016116740
91660670266
10674799072
113169a7592
12169ba4880
13a9a578bc
146589805a
153e3956ec
hex28389de0

674799072 has 96 divisors (see below), whose sum is σ = 1839366144. Its totient is φ = 216384000.

The previous prime is 674799061. The next prime is 674799077. The reversal of 674799072 is 270997476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6747990722 = 910707575144122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674799077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585697 + ... + 586847.

It is an arithmetic number, because the mean of its divisors is an integer number (19160064).

Almost surely, 2674799072 is an apocalyptic number.

674799072 is a gapful number since it is divisible by the number (62) 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 674799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919683072).

674799072 is an abundant number, since it is smaller than the sum of its proper divisors (1164567072).

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

674799072 is a wasteful number, since it uses less digits than its factorization.

674799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 674799072 is about 25976.8949645642. The cubic root of 674799072 is about 877.1182732651.

The spelling of 674799072 in words is "six hundred seventy-four million, seven hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 197 248 372 394 496 591 744 788 992 1151 1182 1488 1576 2302 2364 2976 3152 3453 4604 4728 6107 6304 6906 9208 9456 12214 13812 18321 18416 18912 24428 27624 35681 36642 36832 48856 55248 71362 73284 97712 107043 110496 142724 146568 195424 214086 226747 285448 293136 428172 453494 570896 586272 680241 856344 906988 1141792 1360482 1712688 1813976 2720964 3425376 3627952 5441928 7029157 7255904 10883856 14058314 21087471 21767712 28116628 42174942 56233256 84349884 112466512 168699768 224933024 337399536 674799072