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4070836224 = 21133713809
BaseRepresentation
bin1111001010100100…
…0000100000000000
3101111200222220111000
43302221000200000
531314113224344
61511540052000
7202610352120
oct36251004000
911450886430
104070836224
1117a9976564
12957394000
134cb4c3a40
142a8912c80
1518c5b8a69
hexf2a40800

4070836224 has 384 divisors, whose sum is σ = 14859936000. Its totient is φ = 1072300032.

The previous prime is 4070836223. The next prime is 4070836261. The reversal of 4070836224 is 4226380704.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4070836223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031532 + ... + 5032340.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 24070836224 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 4070836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968000).

4070836224 is an abundant number, since it is smaller than the sum of its proper divisors (10789099776).

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

4070836224 is a wasteful number, since it uses less digits than its factorization.

4070836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4070836224 is about 63803.1051281989. The cubic root of 4070836224 is about 1596.7167338774.

The spelling of 4070836224 in words is "four billion, seventy million, eight hundred thirty-six thousand, two hundred twenty-four".