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4971344 = 247217373
BaseRepresentation
bin10010111101101101010000
3100100120101212
4102331231100
52233040334
6254315252
760153500
oct22755520
910316355
104971344
112896054
1217b8b28
131050a31
14935a00
15682ece
hex4bdb50

4971344 has 60 divisors (see below), whose sum is σ = 11895444. Its totient is φ = 1999872.

The previous prime is 4971341. The next prime is 4971397. The reversal of 4971344 is 4431794.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3312400 + 1658944 = 1820^2 + 1288^2 .

It is a super-2 number, since 2×49713442 = 49428522332672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4971344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13142 + ... + 13514.

Almost surely, 24971344 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 4971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947722).

4971344 is an abundant number, since it is smaller than the sum of its proper divisors (6924100).

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

4971344 is a wasteful number, since it uses less digits than its factorization.

4971344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 4971344 is about 2229.6510937813. The cubic root of 4971344 is about 170.6702947905.

The spelling of 4971344 in words is "four million, nine hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 373 392 476 746 784 833 952 1492 1666 1904 2611 2984 3332 5222 5968 6341 6664 10444 12682 13328 18277 20888 25364 36554 41776 44387 50728 73108 88774 101456 146216 177548 292432 310709 355096 621418 710192 1242836 2485672 4971344