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676007488 = 2613672181
BaseRepresentation
bin101000010010110…
…000111001000000
31202010000201221101
4220102300321000
52341024214423
6151025104144
722515653212
oct5022607100
91663021841
10676007488
11317652482
1216a488054
13aa08b940
1465ad05b2
153e5337ad
hex284b0e40

676007488 has 84 divisors (see below), whose sum is σ = 1474626972. Its totient is φ = 305648640.

The previous prime is 676007447. The next prime is 676007531. The reversal of 676007488 is 884700676.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 634636864 = 6432^2 + 25192^2 .

It is a super-2 number, since 2×6760074882 = 913972247664140288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734758 + ... + 3734938.

It is an arithmetic number, because the mean of its divisors is an integer number (17555083).

Almost surely, 2676007488 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 676007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737313486).

676007488 is an abundant number, since it is smaller than the sum of its proper divisors (798619484).

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

676007488 is a wasteful number, since it uses less digits than its factorization.

676007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 676007488 is about 26000.1439996012. The cubic root of 676007488 is about 877.6415360316.

The spelling of 676007488 in words is "six hundred seventy-six million, seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 181 208 268 362 416 536 724 832 871 1072 1448 1742 2144 2353 2896 3484 4288 4489 4706 5792 6968 8978 9412 11584 12127 13936 17956 18824 24254 27872 35912 37648 48508 55744 58357 71824 75296 97016 116714 143648 150592 157651 194032 233428 287296 315302 388064 466856 630604 776128 812509 933712 1261208 1625018 1867424 2522416 3250036 3734848 5044832 6500072 10089664 10562617 13000144 21125234 26000288 42250468 52000576 84500936 169001872 338003744 676007488