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4820152320 = 21233523379
BaseRepresentation
bin1000111110100110…
…11011000000000000
3110102220222002221000
410133103123000000
534332424333240
62114144332000
7230306422134
oct43723330000
913386862830
104820152320
112053939865
12b26314000
135ba80c149
1433a2473c4
151d327d430
hex11f4db000

4820152320 has 416 divisors, whose sum is σ = 17928460800. Its totient is φ = 1226244096.

The previous prime is 4820152303. The next prime is 4820152349. The reversal of 4820152320 is 232510284.

4820152320 is a `hidden beast` number, since 482 + 0 + 152 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 12717891 + ... + 12718269.

Almost surely, 24820152320 is an apocalyptic number.

4820152320 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 4820152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964230400).

4820152320 is an abundant number, since it is smaller than the sum of its proper divisors (13108308480).

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

4820152320 is a wasteful number, since it uses less digits than its factorization.

4820152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4820152320 is about 69427.3168140610. The cubic root of 4820152320 is about 1689.2227463516. Note that the first 3 decimals are identical.

The spelling of 4820152320 in words is "four billion, eight hundred twenty million, one hundred fifty-two thousand, three hundred twenty".