Search a number
-
+
4248157320 = 23335113531013
BaseRepresentation
bin1111110100110101…
…1011110010001000
3101222001122202022000
43331031123302020
532200012013240
61541312431000
7210162512211
oct37515336210
911861582260
104248157320
11188aa79520
129a6848460
1352916a474
142c42b0408
1519ce43430
hexfd35bc88

4248157320 has 256 divisors, whose sum is σ = 15506899200. Its totient is φ = 1025925120.

The previous prime is 4248157301. The next prime is 4248157321. The reversal of 4248157320 is 237518424.

It is a happy number.

4248157320 is a `hidden beast` number, since 4 + 2 + 4 + 81 + 573 + 2 + 0 = 666.

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 (4248157321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4193134 + ... + 4194146.

It is an arithmetic number, because the mean of its divisors is an integer number (60573825).

Almost surely, 24248157320 is an apocalyptic number.

4248157320 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 4248157320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753449600).

4248157320 is an abundant number, since it is smaller than the sum of its proper divisors (11258741880).

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

4248157320 is a wasteful number, since it uses less digits than its factorization.

4248157320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4248157320 is about 65177.8898093518. The cubic root of 4248157320 is about 1619.5717660965.

The spelling of 4248157320 in words is "four billion, two hundred forty-eight million, one hundred fifty-seven thousand, three hundred twenty".