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4764022380 = 223251319831291
BaseRepresentation
bin1000110111111010…
…10011011001101100
3110022000100102010100
410123331103121230
534224042204010
62104421311100
7226025344035
oct43375233154
913260312110
104764022380
112025191587
12b0b565490
135abcb8870
143329d5a8c
151cd3922c0
hex11bf5366c

4764022380 has 288 divisors, whose sum is σ = 16591760640. Its totient is φ = 1096727040.

The previous prime is 4764022321. The next prime is 4764022381. The reversal of 4764022380 is 832204674.

4764022380 is a `hidden beast` number, since 4 + 7 + 640 + 2 + 2 + 3 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4764022381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3689535 + ... + 3690825.

It is an arithmetic number, because the mean of its divisors is an integer number (57610280).

Almost surely, 24764022380 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 4764022380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295880320).

4764022380 is an abundant number, since it is smaller than the sum of its proper divisors (11827738260).

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

4764022380 is a wasteful number, since it uses less digits than its factorization.

4764022380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4764022380 is about 69021.8978296019. The cubic root of 4764022380 is about 1682.6402150756.

The spelling of 4764022380 in words is "four billion, seven hundred sixty-four million, twenty-two thousand, three hundred eighty".