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4730952960 = 28335367373
BaseRepresentation
bin1000110011111110…
…01001110100000000
3110012201010022102000
410121333021310000
534142110443320
62101240424000
7225144302526
oct43177116400
913181108360
104730952960
112008554a88
12b00478000
135a51aa766
1432c468316
151ca50dc90
hex119fc9d00

4730952960 has 288 divisors, whose sum is σ = 16879188480. Its totient is φ = 1254776832.

The previous prime is 4730952929. The next prime is 4730952971. The reversal of 4730952960 is 692590374.

It is a happy number.

4730952960 is a `hidden beast` number, since 473 + 0 + 95 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 12683334 + ... + 12683706.

Almost surely, 24730952960 is an apocalyptic number.

4730952960 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 4730952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439594240).

4730952960 is an abundant number, since it is smaller than the sum of its proper divisors (12148235520).

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

4730952960 is a wasteful number, since it uses less digits than its factorization.

4730952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4730952960 is about 68781.9232066100. The cubic root of 4730952960 is about 1678.7378274861.

The spelling of 4730952960 in words is "four billion, seven hundred thirty million, nine hundred fifty-two thousand, nine hundred sixty".