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701412928 = 26173371913
BaseRepresentation
bin101001110011101…
…011011001000000
31210212211110122121
4221303223121000
52414030203203
6153333414024
723244624436
oct5163533100
91725743577
10701412928
1132aa24a07
12176a9a314
13b2415548
1469224d56
15418a10bd
hex29ceb640

701412928 has 56 divisors (see below), whose sum is σ = 1478886552. Its totient is φ = 328925184.

The previous prime is 701412869. The next prime is 701412967. The reversal of 701412928 is 829214107.

It can be written as a sum of positive squares in 4 ways, for example, as 243110464 + 458302464 = 15592^2 + 21408^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 701412893 and 701412902.

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, 365700 + ... + 367612.

Almost surely, 2701412928 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 701412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739443276).

701412928 is an abundant number, since it is smaller than the sum of its proper divisors (777473624).

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

701412928 is a wasteful number, since it uses less digits than its factorization.

701412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 701412928 is about 26484.2014793726. The cubic root of 701412928 is about 888.5010023543.

The spelling of 701412928 in words is "seven hundred one million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 337 544 674 1088 1348 1913 2696 3826 5392 5729 7652 10784 11458 15304 21568 22916 30608 32521 45832 61216 65042 91664 122432 130084 183328 260168 366656 520336 644681 1040672 1289362 2081344 2578724 5157448 10314896 10959577 20629792 21919154 41259584 43838308 87676616 175353232 350706464 701412928