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710257152 = 29311127331
BaseRepresentation
bin101010010101011…
…010101000000000
31211111110210122110
4222111122220000
52423311212102
6154251135320
723413041363
oct5225325000
91744423573
10710257152
11334a15790
12179a44540
13b41c1007
146a4880da
154254b86c
hex2a55aa00

710257152 has 160 divisors (see below), whose sum is σ = 2086723584. Its totient is φ = 212889600.

The previous prime is 710257147. The next prime is 710257153. The reversal of 710257152 is 251752017.

It is a super-2 number, since 2×7102571522 = 1008930443934302208, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (710257153) 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, 2145627 + ... + 2145957.

Almost surely, 2710257152 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 710257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043361792).

710257152 is an abundant number, since it is smaller than the sum of its proper divisors (1376466432).

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

710257152 is a wasteful number, since it uses less digits than its factorization.

710257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 710257152 is about 26650.6501234022. The cubic root of 710257152 is about 892.2198309295.

The spelling of 710257152 in words is "seven hundred ten million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 331 352 381 384 508 512 528 662 704 762 768 993 1016 1056 1324 1397 1408 1524 1536 1986 2032 2112 2648 2794 2816 3048 3641 3972 4064 4191 4224 5296 5588 5632 6096 7282 7944 8128 8382 8448 10592 10923 11176 12192 14564 15888 16256 16764 16896 21184 21846 22352 24384 29128 31776 32512 33528 42037 42368 43692 44704 48768 58256 63552 65024 67056 84074 84736 87384 89408 97536 116512 126111 127104 134112 168148 169472 174768 178816 195072 233024 252222 254208 268224 336296 349536 357632 462407 466048 504444 508416 536448 672592 699072 715264 924814 932096 1008888 1072896 1345184 1387221 1398144 1849628 1864192 2017776 2145792 2690368 2774442 2796288 3699256 4035552 5380736 5548884 5592576 7398512 8071104 10761472 11097768 14797024 16142208 21522944 22195536 29594048 32284416 44391072 59188096 64568832 88782144 118376192 177564288 236752384 355128576 710257152