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4742369280 = 212325112339
BaseRepresentation
bin1000110101010101…
…01101000000000000
3110020111121022122200
410122222231000000
534203021304110
62102325233200
7225343321335
oct43252550000
913214538580
104742369280
112013a42260
12b04262800
135a7676b8c
1432db9a98c
151cb5166c0
hex11aaad000

4742369280 has 312 divisors, whose sum is σ = 17940255840. Its totient is φ = 1149173760.

The previous prime is 4742369273. The next prime is 4742369293. The reversal of 4742369280 is 829632474.

4742369280 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 369 + 280 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026351 + ... + 2028689.

It is an arithmetic number, because the mean of its divisors is an integer number (57500820).

Almost surely, 24742369280 is an apocalyptic number.

4742369280 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 4742369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970127920).

4742369280 is an abundant number, since it is smaller than the sum of its proper divisors (13197886560).

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

4742369280 is a wasteful number, since it uses less digits than its factorization.

4742369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4742369280 is about 68864.8624481310. The cubic root of 4742369280 is about 1680.0870703172.

The spelling of 4742369280 in words is "four billion, seven hundred forty-two million, three hundred sixty-nine thousand, two hundred eighty".