Search a number
-
+
4693073952 = 253789131599
BaseRepresentation
bin1000101111011101…
…01010000000100000
3110010001211212011210
410113232222000200
534102411331302
62053404510120
7224204320230
oct42756520040
913101755153
104693073952
111a99132a16
12aab84b340
1359a3a7448
14327407cc0
151c702a66c
hex117baa020

4693073952 has 192 divisors, whose sum is σ = 14370048000. Its totient is φ = 1313495040.

The previous prime is 4693073933. The next prime is 4693073971. The reversal of 4693073952 is 2593703964.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4693073933) and next prime (4693073971).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7834549 + ... + 7835147.

It is an arithmetic number, because the mean of its divisors is an integer number (74844000).

Almost surely, 24693073952 is an apocalyptic number.

4693073952 is a gapful number since it is divisible by the number (42) 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 4693073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024000).

4693073952 is an abundant number, since it is smaller than the sum of its proper divisors (9676974048).

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

4693073952 is a wasteful number, since it uses less digits than its factorization.

4693073952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 4693073952 is about 68506.0139841751. The cubic root of 4693073952 is about 1674.2454701561.

The spelling of 4693073952 in words is "four billion, six hundred ninety-three million, seventy-three thousand, nine hundred fifty-two".