Search a number
-
+
4246572960 = 253357192389
BaseRepresentation
bin1111110100011101…
…1000111110100000
3101221221200020222000
43331013120332200
532144110313320
61541214444000
7210143163120
oct37507307640
911857606860
104246572960
11188a097133
129a6203600
13528a34286
142c3dbac80
1519cc2dc90
hexfd1d8fa0

4246572960 has 576 divisors, whose sum is σ = 17973446400. Its totient is φ = 917194752.

The previous prime is 4246572943. The next prime is 4246572983. The reversal of 4246572960 is 692756424.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10916446 + ... + 10916834.

It is an arithmetic number, because the mean of its divisors is an integer number (31203900).

Almost surely, 24246572960 is an apocalyptic number.

4246572960 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 4246572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986723200).

4246572960 is an abundant number, since it is smaller than the sum of its proper divisors (13726873440).

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

4246572960 is a wasteful number, since it uses less digits than its factorization.

4246572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4246572960 is about 65165.7345542886. The cubic root of 4246572960 is about 1619.3704000616.

The spelling of 4246572960 in words is "four billion, two hundred forty-six million, five hundred seventy-two thousand, nine hundred sixty".