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4975424 = 26172269
BaseRepresentation
bin10010111110101101000000
3100100202222222
4102332231000
52233203144
6254350212
760201416
oct22765500
910322888
104975424
112899123
1217bb368
13105284c
149372b6
156842ee
hex4beb40

4975424 has 42 divisors (see below), whose sum is σ = 10527030. Its totient is φ = 2332672.

The previous prime is 4975417. The next prime is 4975457. The reversal of 4975424 is 4245794.

It can be written as a sum of positive squares in 3 ways, for example, as 846400 + 4129024 = 920^2 + 2032^2 .

Its product of digits (40320) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

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, 18362 + ... + 18630.

Almost surely, 24975424 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 4975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263515).

4975424 is an abundant number, since it is smaller than the sum of its proper divisors (5551606).

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

4975424 is a wasteful number, since it uses less digits than its factorization.

4975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 4975424 is about 2230.5658474925. The cubic root of 4975424 is about 170.7169719328.

The spelling of 4975424 in words is "four million, nine hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 269 272 289 538 544 578 1076 1088 1156 2152 2312 4304 4573 4624 8608 9146 9248 17216 18292 18496 36584 73168 77741 146336 155482 292672 310964 621928 1243856 2487712 4975424