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4960343232 = 2633131731419
BaseRepresentation
bin1001001111010100…
…01101010011000000
3110210200202112201000
410213222031103000
540124321440412
62140113212000
7233631136035
oct44752152300
913720675630
104960343232
112115a91319
12b65261000
13610885350
14350adb38c
151e07214dc
hex127a8d4c0

4960343232 has 448 divisors, whose sum is σ = 17205350400. Its totient is φ = 1386823680.

The previous prime is 4960343189. The next prime is 4960343233. The reversal of 4960343232 is 2323430694.

4960343232 is a `hidden beast` number, since 4 + 9 + 603 + 43 + 2 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960343233) 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, 11838319 + ... + 11838737.

It is an arithmetic number, because the mean of its divisors is an integer number (38404800).

Almost surely, 24960343232 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 4960343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602675200).

4960343232 is an abundant number, since it is smaller than the sum of its proper divisors (12245007168).

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

4960343232 is a wasteful number, since it uses less digits than its factorization.

4960343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 4960343232 is about 70429.7041879348. The cubic root of 4960343232 is about 1705.4431337299.

The spelling of 4960343232 in words is "four billion, nine hundred sixty million, three hundred forty-three thousand, two hundred thirty-two".