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4945312 = 2529732
BaseRepresentation
bin10010110111010110100000
3100022020200201
4102313112200
52231222222
6253554544
760014551
oct22672640
910266621
104945312
112878539
1217a5a54
131041c28
1492a328
1567a427
hex4b75a0

4945312 has 36 divisors (see below), whose sum is σ = 10211670. Its totient is φ = 2354688.

The previous prime is 4945307. The next prime is 4945327. The reversal of 4945312 is 2135494.

It can be written as a sum of positive squares in 3 ways, for example, as 4477456 + 467856 = 2116^2 + 684^2 .

It is a super-2 number, since 2×49453122 = 48912221554688, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 67708 + ... + 67780.

Almost surely, 24945312 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 4945312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105835).

4945312 is an abundant number, since it is smaller than the sum of its proper divisors (5266358).

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

4945312 is an equidigital number, since it uses as much as digits as its factorization.

4945312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 104 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 4945312 is about 2223.8057469123. The cubic root of 4945312 is about 170.3718733653.

The spelling of 4945312 in words is "four million, nine hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 232 292 464 584 928 1168 2117 2336 4234 5329 8468 10658 16936 21316 33872 42632 67744 85264 154541 170528 309082 618164 1236328 2472656 4945312