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4929800 = 23521572
BaseRepresentation
bin10010110011100100001000
3100021110102012
4102303210020
52230223200
6253355052
756621411
oct22634410
910243365
104929800
112867917
121798a88
131037b55
14924808
15675a35
hex4b3908

4929800 has 36 divisors (see below), whose sum is σ = 11535255. Its totient is φ = 1959360.

The previous prime is 4929791. The next prime is 4929809. The reversal of 4929800 is 89294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (4929791) and next prime (4929809).

It can be written as a sum of positive squares in 5 ways, for example, as 857476 + 4072324 = 926^2 + 2018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1570.

It is not an unprimeable number, because it can be changed into a prime (4929809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31322 + ... + 31478.

Almost surely, 24929800 is an apocalyptic number.

4929800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4929800

4929800 is an abundant number, since it is smaller than the sum of its proper divisors (6605455).

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

4929800 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4929799) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (330).

4929800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 4929800 is about 2220.3152929258. The cubic root of 4929800 is about 170.1935511776.

Multiplying 4929800 by its sum of digits (32), we get a square (157753600 = 125602).

The spelling of 4929800 in words is "four million, nine hundred twenty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 24649 31400 49298 98596 123245 197192 246490 492980 616225 985960 1232450 2464900 4929800