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706157152 = 25172235821
BaseRepresentation
bin101010000101110…
…001101001100000
31211012202111111121
4222011301221200
52421234012102
6154023222024
723333144131
oct5205615140
91735674447
10706157152
11332675358
121785a7914
13b33b6a8c
1469adbc88
1541edbb37
hex2a171a60

706157152 has 48 divisors (see below), whose sum is σ = 1478881152. Its totient is φ = 330762240.

The previous prime is 706157149. The next prime is 706157159. The reversal of 706157152 is 251751607.

It is a happy number.

It is a super-2 number, since 2×7061571522 = 997315846641502208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706157159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118402 + ... + 124222.

It is an arithmetic number, because the mean of its divisors is an integer number (30810024).

Almost surely, 2706157152 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 706157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739440576).

706157152 is an abundant number, since it is smaller than the sum of its proper divisors (772724000).

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

706157152 is a wasteful number, since it uses less digits than its factorization.

706157152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 706157152 is about 26573.6175933951. The cubic root of 706157152 is about 890.4997202045.

The spelling of 706157152 in words is "seven hundred six million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 223 272 446 544 892 1784 3568 3791 5821 7136 7582 11642 15164 23284 30328 46568 60656 93136 98957 121312 186272 197914 395828 791656 1298083 1583312 2596166 3166624 5192332 10384664 20769328 22067411 41538656 44134822 88269644 176539288 353078576 706157152