Search a number
-
+
4859921920 = 29572174353
BaseRepresentation
bin1001000011010110…
…01000011000000000
3110112200210121120011
410201223020120000
534423120000140
62122124554304
7231301440400
oct44153103000
913480717504
104859921920
1120743322a7
12b376b2994
135c5b24b59
1434163a800
151d69d6cea
hex121ac8600

4859921920 has 480 divisors, whose sum is σ = 14963069088. Its totient is φ = 1502871552.

The previous prime is 4859921909. The next prime is 4859921923. The reversal of 4859921920 is 291299584.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859921923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91696614 + ... + 91696666.

Almost surely, 24859921920 is an apocalyptic number.

4859921920 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 4859921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481534544).

4859921920 is an abundant number, since it is smaller than the sum of its proper divisors (10103147168).

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

4859921920 is a wasteful number, since it uses less digits than its factorization.

4859921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 4859921920 is about 69713.1402247812. The cubic root of 4859921920 is about 1693.8557808147.

The spelling of 4859921920 in words is "four billion, eight hundred fifty-nine million, nine hundred twenty-one thousand, nine hundred twenty".