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34992125 = 537229197
BaseRepresentation
bin1000010101111…
…0111111111101
32102211210011122
42011132333331
532424222000
63250000325
7603266600
oct205367775
972753148
1034992125
1118830113
12b8760a5
1373322cc
14490c337
153113085
hex215effd

34992125 has 48 divisors (see below), whose sum is σ = 52818480. Its totient is φ = 23049600.

The previous prime is 34992119. The next prime is 34992143. The reversal of 34992125 is 52129943.

It can be written as a sum of positive squares in 8 ways, for example, as 2524921 + 32467204 = 1589^2 + 5698^2 .

It is not a de Polignac number, because 34992125 - 24 = 34992109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177527 + ... + 177723.

It is an arithmetic number, because the mean of its divisors is an integer number (1100385).

Almost surely, 234992125 is an apocalyptic number.

34992125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34992125 is a deficient number, since it is larger than the sum of its proper divisors (17826355).

34992125 is a wasteful number, since it uses less digits than its factorization.

34992125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 34992125 is about 5915.4141866821. The cubic root of 34992125 is about 327.0820961813.

The spelling of 34992125 in words is "thirty-four million, nine hundred ninety-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 125 145 175 197 203 245 725 875 985 1015 1225 1379 1421 3625 4925 5075 5713 6125 6895 7105 9653 24625 25375 28565 34475 35525 39991 48265 142825 172375 177625 199955 241325 279937 714125 999775 1206625 1399685 4998875 6998425 34992125